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202115662140 = 22357975698719
BaseRepresentation
bin1011110000111100001…
…0000100000100111100
3201022200210021110100110
42330033002010010330
511302413102142030
6232503424030020
720413420532130
oct2741702040474
9638623243313
10202115662140
1178798027507
1233208162310
13160a0731b72
149ad50873c0
1553ce0821b0
hex2f0f08413c

202115662140 has 192 divisors, whose sum is σ = 654661324800. Its totient is φ = 45636009984.

The previous prime is 202115662129. The next prime is 202115662141. The reversal of 202115662140 is 41266511202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202115662098 and 202115662107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202115662141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23176701 + ... + 23185419.

It is an arithmetic number, because the mean of its divisors is an integer number (3409694400).

Almost surely, 2202115662140 is an apocalyptic number.

202115662140 is a gapful number since it is divisible by the number (20) 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 202115662140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327330662400).

202115662140 is an abundant number, since it is smaller than the sum of its proper divisors (452545662660).

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

202115662140 is a wasteful number, since it uses less digits than its factorization.

202115662140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 202115662140 in words is "two hundred two billion, one hundred fifteen million, six hundred sixty-two thousand, one hundred forty".