Search a number
-
+
106196224 = 28597989
BaseRepresentation
bin1100101010001…
…10110100000000
321101211022211111
412111012310000
5204141234344
614312053104
72426436661
oct625066400
9241738744
10106196224
1154a43882
122b694194
1319002c04
1410165368
1594ca834
hex6546d00

106196224 has 72 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 50958336.

The previous prime is 106196203. The next prime is 106196243. The reversal of 106196224 is 422691601.

It is a super-2 number, since 2×1061962242 = 22555275983716352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193172 + ... + 1193260.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2106196224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

106196224 is an abundant number, since it is smaller than the sum of its proper divisors (114555776).

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

106196224 is an frugal number, since it uses more digits than its factorization.

106196224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 106196224 is about 10305.1552147457. The cubic root of 106196224 is about 473.5541987604.

The spelling of 106196224 in words is "one hundred six million, one hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 79 89 118 128 158 178 236 256 316 356 472 632 712 944 1264 1424 1888 2528 2848 3776 4661 5056 5251 5696 7031 7552 9322 10112 10502 11392 14062 15104 18644 20224 21004 22784 28124 37288 42008 56248 74576 84016 112496 149152 168032 224992 298304 336064 414829 449984 596608 672128 829658 899968 1193216 1344256 1659316 1799936 3318632 6637264 13274528 26549056 53098112 106196224