Search a number
-
+
21200220096 = 2631141923957
BaseRepresentation
bin10011101111101000…
…011010111111000000
32000201110221202200220
4103233220122333000
5321404224020341
613423402143040
71350234616566
oct235750327700
960643852626
1021200220096
118a99a76160
124137ab1a80
131ccb248343
141051871a36
158412eba66
hex4efa1afc0

21200220096 has 112 divisors (see below), whose sum is σ = 61340146560. Its totient is φ = 6408709120.

The previous prime is 21200220053. The next prime is 21200220101. The reversal of 21200220096 is 69002200212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 872950 + ... + 896906.

It is an arithmetic number, because the mean of its divisors is an integer number (547679880).

Almost surely, 221200220096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30670073280).

21200220096 is an abundant number, since it is smaller than the sum of its proper divisors (40139926464).

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

21200220096 is a wasteful number, since it uses less digits than its factorization.

21200220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24402 (or 24392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 21200220096 in words is "twenty-one billion, two hundred million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 419 528 704 838 1056 1257 1676 2112 2514 3352 4609 5028 6704 9218 10056 13408 13827 18436 20112 23957 26816 27654 36872 40224 47914 55308 71871 73744 80448 95828 110616 143742 147488 191656 221232 263527 287484 294976 383312 442464 527054 574968 766624 790581 884928 1054108 1149936 1533248 1581162 2108216 2299872 3162324 4216432 4599744 6324648 8432864 10037983 12649296 16865728 20075966 25298592 30113949 40151932 50597184 60227898 80303864 110417813 120455796 160607728 220835626 240911592 321215456 331253439 441671252 481823184 642430912 662506878 883342504 963646368 1325013756 1766685008 1927292736 2650027512 3533370016 5300055024 7066740032 10600110048 21200220096