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157224340 = 22573134143
BaseRepresentation
bin10010101111100…
…00110110010100
3101221211211020201
421113300312110
5310222134330
623333510244
73616246000
oct1127606624
9357754221
10157224340
1180826a79
12447a2384
132675b270
1416c49700
15dc09eca
hex95f0d94

157224340 has 192 divisors, whose sum is σ = 434649600. Its totient is φ = 47416320.

The previous prime is 157224337. The next prime is 157224391. The reversal of 157224340 is 43422751.

157224340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 157224299 and 157224308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3656359 + ... + 3656401.

It is an arithmetic number, because the mean of its divisors is an integer number (2263800).

Almost surely, 2157224340 is an apocalyptic number.

157224340 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 157224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324800).

157224340 is an abundant number, since it is smaller than the sum of its proper divisors (277425260).

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

157224340 is a wasteful number, since it uses less digits than its factorization.

157224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 157224340 is about 12538.9130310406. The cubic root of 157224340 is about 539.7259011313.

The spelling of 157224340 in words is "one hundred fifty-seven million, two hundred twenty-four thousand, three hundred forty".