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23210440220 = 22511261157231
BaseRepresentation
bin10101100111011100…
…110011011000011100
32012220120112112022002
4111213130303120130
5340013333041340
614355052141432
71451114325632
oct254734633034
965816475262
1023210440220
119930763300
1245b9167878
13225b8604c6
1411a282b352
1590ca2c715
hex56773361c

23210440220 has 72 divisors (see below), whose sum is σ = 54454473024. Its totient is φ = 8301744000.

The previous prime is 23210440217. The next prime is 23210440237. The reversal of 23210440220 is 2204401232.

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 = 23210440192 and 23210440201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69005 + ... + 226235.

Almost surely, 223210440220 is an apocalyptic number.

23210440220 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 23210440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27227236512).

23210440220 is an abundant number, since it is smaller than the sum of its proper divisors (31244032804).

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

23210440220 is a wasteful number, since it uses less digits than its factorization.

23210440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157323 (or 157310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23210440220 its reverse (2204401232), we get a palindrome (25414841452).

The spelling of 23210440220 in words is "twenty-three billion, two hundred ten million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14762 29524 36905 73810 147620 157231 314462 628924 786155 1572310 1729541 3144620 3459082 6918164 8647705 9591091 17295410 19024951 19182182 34590820 38049902 38364364 47955455 76099804 95124755 95910910 105502001 190249510 191821820 211004002 380499020 422008004 527510005 1055020010 1160522011 2110040020 2321044022 4642088044 5802610055 11605220110 23210440220