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23220400400 = 245265818821
BaseRepresentation
bin10101101000000010…
…110011000100010000
32012221021021120002122
4111220002303010100
5340023410303100
614400045433412
71451265101231
oct255002630420
965837246078
1023220400400
11993634655a
12460056b868
132260939bc2
1411a3ca1088
1590d848985
hex5680b3110

23220400400 has 60 divisors (see below), whose sum is σ = 55801814244. Its totient is φ = 9285696000.

The previous prime is 23220400381. The next prime is 23220400417. The reversal of 23220400400 is 400402232.

It can be written as a sum of positive squares in 6 ways, for example, as 1022976256 + 22197424144 = 31984^2 + 148988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2627990 + ... + 2636810.

Almost surely, 223220400400 is an apocalyptic number.

23220400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23220400400 is an abundant number, since it is smaller than the sum of its proper divisors (32581413844).

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

23220400400 is a wasteful number, since it uses less digits than its factorization.

23220400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 23220400400 its reverse (400402232), we get a palindrome (23620802632).

The spelling of 23220400400 in words is "twenty-three billion, two hundred twenty million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6581 8821 13162 17642 26324 32905 35284 44105 52648 65810 70568 88210 105296 131620 141136 164525 176420 220525 263240 329050 352840 441050 526480 658100 705680 882100 1316200 1764200 2632400 3528400 58051001 116102002 232204004 290255005 464408008 580510010 928816016 1161020020 1451275025 2322040040 2902550050 4644080080 5805100100 11610200200 23220400400