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97223040 = 2732516879
BaseRepresentation
bin1011100101110…
…00000110000000
320202221102221100
411302320012000
5144342114130
613351454400
72260245045
oct562700600
9222842840
1097223040
114a975122
1228687400
13171b0835
14ccab1cc
158806c60
hex5cb8180

97223040 has 96 divisors (see below), whose sum is σ = 335743200. Its totient is φ = 25924608.

The previous prime is 97223023. The next prime is 97223083. The reversal of 97223040 is 4032279.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 97222995 and 97223013.

It is a congruent number.

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, 2680 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (3497325).

Almost surely, 297223040 is an apocalyptic number.

97223040 is a gapful number since it is divisible by the number (90) 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 97223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167871600).

97223040 is an abundant number, since it is smaller than the sum of its proper divisors (238520160).

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

97223040 is a wasteful number, since it uses less digits than its factorization.

97223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16904 (or 16889 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 97223040 is about 9860.1744406476. The cubic root of 97223040 is about 459.8219853096.

The spelling of 97223040 in words is "ninety-seven million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 16879 33758 50637 67516 84395 101274 135032 151911 168790 202548 253185 270064 303822 337580 405096 506370 540128 607644 675160 759555 810192 1012740 1080256 1215288 1350320 1519110 1620384 2025480 2160512 2430576 2700640 3038220 3240768 4050960 4861152 5401280 6076440 6481536 8101920 9722304 10802560 12152880 16203840 19444608 24305760 32407680 48611520 97223040