Search a number
-
+
23235774404160 = 2635109271819389
BaseRepresentation
bin1010100100010000000000…
…00101000101011001000000
310001021022121001212111100010
411102020000011011121000
511021143331221413120
6121230211205224520
74615505102446263
oct522100005053100
9101238531774303
1023235774404160
11744926699428a
1227332b9a02140
13cc717c917196
145a4890526cda
152a463859c7e0
hex152200145640

23235774404160 has 224 divisors, whose sum is σ = 74725221542400. Its totient is φ = 6116698644480.

The previous prime is 23235774404159. The next prime is 23235774404201. The reversal of 23235774404160 is 6140447753232.

It is a super-2 number, since 2×232357744041602 (a number of 28 digits) contains 22 as substring.

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

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, 27947746 + ... + 28767134.

Almost surely, 223235774404160 is an apocalyptic number.

23235774404160 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 23235774404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37362610771200).

23235774404160 is an abundant number, since it is smaller than the sum of its proper divisors (51489447138240).

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

23235774404160 is a wasteful number, since it uses less digits than its factorization.

23235774404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819789 (or 819779 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 23235774404160 in words is "twenty-three trillion, two hundred thirty-five billion, seven hundred seventy-four million, four hundred four thousand, one hundred sixty".