Search a number
-
+
10232512220 = 2257210441339
BaseRepresentation
bin10011000011110011…
…11011111011011100
3222102010021110221002
421201321323323130
5131424010342340
64411210125432
7511366630100
oct114171737334
928363243832
1010232512220
114380a93977
121b96a20878
13c70c19078
146d0da9900
153ed4da715
hex261e7bedc

10232512220 has 36 divisors (see below), whose sum is σ = 24996567960. Its totient is φ = 3508289568.

The previous prime is 10232512219. The next prime is 10232512223. The reversal of 10232512220 is 2221523201.

It is a super-4 number, since 4×102325122204 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10232512192 and 10232512201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232512223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5219690 + ... + 5221649.

It is an arithmetic number, because the mean of its divisors is an integer number (694349110).

Almost surely, 210232512220 is an apocalyptic number.

10232512220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232512220 is an abundant number, since it is smaller than the sum of its proper divisors (14764055740).

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

10232512220 is a wasteful number, since it uses less digits than its factorization.

10232512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441362 (or 10441353 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 10232512220 in words is "ten billion, two hundred thirty-two million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10441339 20882678 41765356 52206695 73089373 104413390 146178746 208826780 292357492 365446865 511625611 730893730 1023251222 1461787460 2046502444 2558128055 5116256110 10232512220