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97140224 = 292373113
BaseRepresentation
bin1011100101000…
…11111000000000
320202210020100002
411302203320000
5144331441344
613350015132
72256451436
oct562437000
9222706302
1097140224
114a918985
12286474a8
1317181c2c
14cc88d56
1587dc44e
hex5ca3e00

97140224 has 80 divisors (see below), whose sum is σ = 207120672. Its totient is φ = 45416448.

The previous prime is 97140223. The next prime is 97140269. The reversal of 97140224 is 42204179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97140223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859592 + ... + 859704.

Almost surely, 297140224 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 97140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103560336).

97140224 is an abundant number, since it is smaller than the sum of its proper divisors (109980448).

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

97140224 is a wasteful number, since it uses less digits than its factorization.

97140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 97140224 is about 9855.9740259398. The cubic root of 97140224 is about 459.6913872017.

The spelling of 97140224 in words is "ninety-seven million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 113 128 146 184 226 256 292 368 452 512 584 736 904 1168 1472 1679 1808 2336 2599 2944 3358 3616 4672 5198 5888 6716 7232 8249 9344 10396 11776 13432 14464 16498 18688 20792 26864 28928 32996 37376 41584 53728 57856 65992 83168 107456 131984 166336 189727 214912 263968 332672 379454 429824 527936 665344 758908 859648 1055872 1330688 1517816 2111744 3035632 4223488 6071264 12142528 24285056 48570112 97140224