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10097222240 = 255725983263
BaseRepresentation
bin10010110011101011…
…10110001001100000
3222001200201000222002
421121311312021200
5131134342102430
64345534303132
7505134654500
oct113165661140
928050630862
1010097222240
114311689576
121b59657aa8
13c4bb9a821
146bb02da00
153e16b4845
hex259d76260

10097222240 has 288 divisors, whose sum is σ = 28668245760. Its totient is φ = 3349441536.

The previous prime is 10097222209. The next prime is 10097222243. The reversal of 10097222240 is 4222279001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097222243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38392349 + ... + 38392611.

It is an arithmetic number, because the mean of its divisors is an integer number (99542520).

Almost surely, 210097222240 is an apocalyptic number.

10097222240 is a gapful number since it is divisible by the number (10) 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 10097222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334122880).

10097222240 is an abundant number, since it is smaller than the sum of its proper divisors (18571023520).

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

10097222240 is a wasteful number, since it uses less digits than its factorization.

10097222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

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

The spelling of 10097222240 in words is "ten billion, ninety-seven million, two hundred twenty-two thousand, two hundred forty".