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23222132032 = 2611181182243
BaseRepresentation
bin10101101000001001…
…011001110101000000
32012221101112112110011
4111220021121311000
5340024331211112
614400150514304
71451315602561
oct255011316500
965841475404
1023222132032
119937319560
124601065994
1322610c5138
1411a41d2168
1590da8baa7
hex568259d40

23222132032 has 56 divisors (see below), whose sum is σ = 50548653792. Its totient is φ = 10497139200.

The previous prime is 23222132027. The next prime is 23222132053. The reversal of 23222132032 is 23023122232.

It is a super-2 number, since 2×232221320322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23222131994 and 23222132012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36303 + ... + 218545.

It is an arithmetic number, because the mean of its divisors is an integer number (902654532).

Almost surely, 223222132032 is an apocalyptic number.

23222132032 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 23222132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25274326896).

23222132032 is an abundant number, since it is smaller than the sum of its proper divisors (27326521760).

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

23222132032 is a wasteful number, since it uses less digits than its factorization.

23222132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182447 (or 182437 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23222132032 its reverse (23023122232), we get a palindrome (46245254264).

The spelling of 23222132032 in words is "twenty-three billion, two hundred twenty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 181 352 362 704 724 1448 1991 2896 3982 5792 7964 11584 15928 31856 63712 127424 182243 364486 728972 1457944 2004673 2915888 4009346 5831776 8018692 11663552 16037384 32074768 32985983 64149536 65971966 128299072 131943932 263887864 362845813 527775728 725691626 1055551456 1451383252 2111102912 2902766504 5805533008 11611066016 23222132032