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2157325940 = 2257311223113
BaseRepresentation
bin1000000010010110…
…0010111001110100
312120100101111211202
42000211202321310
513404233412230
6554022552032
7104313653000
oct20045427164
95510344752
102157325940
11a07832a00
12502598618
13284c3c933
1416672d700
15c95dca45
hex80962e74

2157325940 has 288 divisors, whose sum is σ = 6113318400. Its totient is φ = 637486080.

The previous prime is 2157325889. The next prime is 2157325943. The reversal of 2157325940 is 495237512.

It is a super-2 number, since 2×21573259402 = 9308110422793767200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2157325894 and 2157325903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157325943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19091324 + ... + 19091436.

It is an arithmetic number, because the mean of its divisors is an integer number (21226800).

Almost surely, 22157325940 is an apocalyptic number.

2157325940 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 2157325940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056659200).

2157325940 is an abundant number, since it is smaller than the sum of its proper divisors (3955992460).

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

2157325940 is a wasteful number, since it uses less digits than its factorization.

2157325940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 2157325940 is about 46447.0229401196. The cubic root of 2157325940 is about 1292.1271596992.

The spelling of 2157325940 in words is "two billion, one hundred fifty-seven million, three hundred twenty-five thousand, nine hundred forty".