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97202240 = 265893413
BaseRepresentation
bin1011100101100…
…11000001000000
320202220101101222
411302303001000
5144340432430
613351214212
72260130312
oct562630100
9222811358
1097202240
114a960533
1228677368
13171a4225
14cca37b2
1588009e5
hex5cb3040

97202240 has 56 divisors (see below), whose sum is σ = 234132120. Its totient is φ = 38432768.

The previous prime is 97202239. The next prime is 97202257. The reversal of 97202240 is 4220279.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 80425024 = 4096^2 + 8968^2 .

It is a super-2 number, since 2×972022402 = 18896550922035200, which contains 22 as substring.

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, 26774 + ... + 30186.

Almost surely, 297202240 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 97202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117066060).

97202240 is an abundant number, since it is smaller than the sum of its proper divisors (136929880).

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

97202240 is a wasteful number, since it uses less digits than its factorization.

97202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 97202240 is about 9859.1196361541. The cubic root of 97202240 is about 459.7891913702.

The spelling of 97202240 in words is "ninety-seven million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2848 3413 3560 5696 6826 7120 13652 14240 17065 27304 28480 34130 54608 68260 109216 136520 218432 273040 303757 546080 607514 1092160 1215028 1518785 2430056 3037570 4860112 6075140 9720224 12150280 19440448 24300560 48601120 97202240