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245090000232 = 23357112473167
BaseRepresentation
bin1110010001000010000…
…0001001110101101000
3212102121202002000200000
43210100200021311220
513003421020001412
6304332013143000
723464362425430
oct3442040116550
9772552060600
10245090000232
1194a3aa08800
123b60018aa60
131a15ba8239c
14bc1069b2c0
156596c3e4dc
hex3910809d68

245090000232 has 576 divisors, whose sum is σ = 883406684160. Its totient is φ = 62285604480.

The previous prime is 245090000213. The next prime is 245090000249. The reversal of 245090000232 is 232000090542.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 245090000196 and 245090000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77387113 + ... + 77390279.

It is an arithmetic number, because the mean of its divisors is an integer number (1533692160).

Almost surely, 2245090000232 is an apocalyptic number.

245090000232 is a gapful number since it is divisible by the number (22) 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 245090000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441703342080).

245090000232 is an abundant number, since it is smaller than the sum of its proper divisors (638316683928).

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

245090000232 is a wasteful number, since it uses less digits than its factorization.

245090000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 245090000232 its reverse (232000090542), we get a palindrome (477090090774).

The spelling of 245090000232 in words is "two hundred forty-five billion, ninety million, two hundred thirty-two", and thus it is an aban number.