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3522974112 = 253274737181
BaseRepresentation
bin1101000111111100…
…0101000110100000
3100002112002121221200
43101333011012200
524203340132422
61341325321200
7153205533360
oct32177050640
910075077850
103522974112
111548699659
12823a06200
13441b51688
14255c5c9a0
151594492ac
hexd1fc51a0

3522974112 has 144 divisors (see below), whose sum is σ = 11693590272. Its totient is φ = 985121280.

The previous prime is 3522974089. The next prime is 3522974113. The reversal of 3522974112 is 2114792253.

3522974112 is a `hidden beast` number, since 3 + 522 + 97 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×35229741122 = 24822693187644377088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3522974113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76162 + ... + 113342.

It is an arithmetic number, because the mean of its divisors is an integer number (81205488).

Almost surely, 23522974112 is an apocalyptic number.

3522974112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3522974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846795136).

3522974112 is an abundant number, since it is smaller than the sum of its proper divisors (8170616160).

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

3522974112 is a wasteful number, since it uses less digits than its factorization.

3522974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37251 (or 37240 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3522974112 is about 59354.6469284419. The cubic root of 3522974112 is about 1521.6092881904.

It can be divided in two parts, 352297 and 4112, that added together give a square (356409 = 5972).

The spelling of 3522974112 in words is "three billion, five hundred twenty-two million, nine hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 37181 47376 74362 94752 111543 148724 223086 260267 297448 334629 446172 520534 594896 669258 780801 892344 1041068 1189792 1338516 1561602 1747507 1784688 2082136 2342403 2677032 3123204 3495014 3569376 4164272 4684806 5242521 5354064 6246408 6990028 8328544 9369612 10485042 10708128 12232549 12492816 13980056 15727563 18739224 20970084 24465098 24985632 27960112 31455126 36697647 37478448 41940168 48930196 55920224 62910252 73395294 74956896 83880336 97860392 110092941 125820504 146790588 167760672 195720784 220185882 251641008 293581176 391441568 440371764 503282016 587162352 880743528 1174324704 1761487056 3522974112