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97012224 = 293237569
BaseRepresentation
bin1011100100001…
…00101000000000
320202112201202100
411302010220000
5144313342344
613343150400
72255406321
oct562045000
9222481670
1097012224
114a8407a1
12285a5400
13171388aa
14cc54448
1587b4569
hex5c84a00

97012224 has 120 divisors (see below), whose sum is σ = 288056340. Its totient is φ = 31408128.

The previous prime is 97012193. The next prime is 97012249. The reversal of 97012224 is 42221079.

It can be written as a sum of positive squares in 2 ways, for example, as 96825600 + 186624 = 9840^2 + 432^2 .

It is a super-2 number, since 2×970122242 = 18822743210852352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170212 + ... + 170780.

Almost surely, 297012224 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 97012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144028170).

97012224 is an abundant number, since it is smaller than the sum of its proper divisors (191044116).

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

97012224 is a wasteful number, since it uses less digits than its factorization.

97012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 97012224 is about 9849.4783618220. The cubic root of 97012224 is about 459.4893893116.

The spelling of 97012224 in words is "ninety-seven million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 569 576 592 666 768 888 1138 1152 1184 1332 1536 1707 1776 2276 2304 2368 2664 3414 3552 4552 4608 4736 5121 5328 6828 7104 9104 9472 10242 10656 13656 14208 18208 18944 20484 21053 21312 27312 28416 36416 40968 42106 42624 54624 56832 63159 72832 81936 84212 85248 109248 126318 145664 163872 168424 170496 189477 218496 252636 291328 327744 336848 378954 436992 505272 655488 673696 757908 873984 1010544 1310976 1347392 1515816 2021088 2621952 2694784 3031632 4042176 5389568 6063264 8084352 10779136 12126528 16168704 24253056 32337408 48506112 97012224