Search a number
-
+
29225953920 = 2735174192137
BaseRepresentation
bin11011001110000000…
…001010101010000000
32210102210210021202210
4123032000022222000
5434323321011140
621232021342120
72053150336512
oct331600125200
983383707683
1029225953920
111143831a829
1257b7867940
1329a9bcb677
1415b3717bb2
15b60bcbd80
hex6ce00aa80

29225953920 has 256 divisors, whose sum is σ = 98919273600. Its totient is φ = 7314210816.

The previous prime is 29225953907. The next prime is 29225953931. The reversal of 29225953920 is 2935952292.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29225953920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13675092 + ... + 13677228.

Almost surely, 229225953920 is an apocalyptic number.

29225953920 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 29225953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49459636800).

29225953920 is an abundant number, since it is smaller than the sum of its proper divisors (69693319680).

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

29225953920 is a wasteful number, since it uses less digits than its factorization.

29225953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 29225953920 in words is "twenty-nine billion, two hundred twenty-five million, nine hundred fifty-three thousand, nine hundred twenty".