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226116124320 = 25352320481533
BaseRepresentation
bin1101001010010110010…
…0100011111010100000
3210121122102101021001010
43102211210203322200
512201041211434240
6251513141140520
722223240226102
oct3224544437240
9717572337033
10226116124320
1187993725a19
12379a59ba740
1318426b60688
14ad307a3572
155d36115280
hex34a5923ea0

226116124320 has 96 divisors (see below), whose sum is σ = 743233905792. Its totient is φ = 57675994112.

The previous prime is 226116124291. The next prime is 226116124361. The reversal of 226116124320 is 23421611622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2261161243202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10229727 + ... + 10251806.

It is an arithmetic number, because the mean of its divisors is an integer number (7742019852).

Almost surely, 2226116124320 is an apocalyptic number.

226116124320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226116124320 is an abundant number, since it is smaller than the sum of its proper divisors (517117781472).

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

226116124320 is a wasteful number, since it uses less digits than its factorization.

226116124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20481574 (or 20481566 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 226116124320 its reverse (23421611622), we get a palindrome (249537735942).

The spelling of 226116124320 in words is "two hundred twenty-six billion, one hundred sixteen million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 20481533 40963066 61444599 81926132 102407665 122889198 163852264 204815330 245778396 307222995 327704528 409630660 471075259 491556792 614445990 655409056 819261320 942150518 983113584 1228891980 1413225777 1638522640 1884301036 1966227168 2355376295 2457783960 2826451554 3277045280 3768602072 4710752590 4915567920 5652903108 7066128885 7537204144 9421505180 9831135840 11305806216 14132257770 15074408288 18843010360 22611612432 28264515540 37686020720 45223224864 56529031080 75372041440 113058062160 226116124320