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221221213440 = 2835193032089
BaseRepresentation
bin1100111000000111001…
…1111101010100000000
3210011000021202000122120
43032001303331110000
512111030112312230
6245343322204240
721661032200643
oct3160163752400
9704007660576
10221221213440
1185901675a27
1236a5a653680
1317b26a07ac6
14a9c8659a5a
155b4b51b310
hex3381cfd500

221221213440 has 144 divisors (see below), whose sum is σ = 743711035200. Its totient is φ = 55887446016.

The previous prime is 221221213373. The next prime is 221221213501. The reversal of 221221213440 is 44312122122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221221213440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443085 + ... + 1589004.

Almost surely, 2221221213440 is an apocalyptic number.

221221213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221213440 is an abundant number, since it is smaller than the sum of its proper divisors (522489821760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221221213440 is a wasteful number, since it uses less digits than its factorization.

221221213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032132 (or 3032118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221221213440 its reverse (44312122122), we get a palindrome (265533335562).

The spelling of 221221213440 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 36480 72960 3032089 6064178 9096267 12128356 15160445 18192534 24256712 30320890 36385068 45481335 48513424 57609691 60641780 72770136 90962670 97026848 115219382 121283560 145540272 172829073 181925340 194053696 230438764 242567120 288048455 291080544 345658146 363850680 388107392 460877528 485134240 576096910 582161088 691316292 727701360 776214784 864145365 921755056 970268480 1152193820 1164322176 1382632584 1455402720 1728290730 1843510112 1940536960 2304387640 2328644352 2765265168 2910805440 3456581460 3687020224 3881073920 4608775280 5530530336 5821610880 6913162920 7374040448 9217550560 11061060672 11643221760 13826325840 14748080896 18435101120 22122121344 27652651680 36870202240 44244242688 55305303360 73740404480 110610606720 221221213440