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21274224400 = 24521113371927
BaseRepresentation
bin10011110100000010…
…101110011100010000
32000220122012120112001
4103310002232130100
5322032200140100
613435004243344
71352123631562
oct236402563420
960818176461
1021274224400
119027821740
124158840554
132010689680
14105b617332
15847a68d6a
hex4f40ae710

21274224400 has 120 divisors (see below), whose sum is σ = 60047031744. Its totient is φ = 7140979200.

The previous prime is 21274224359. The next prime is 21274224407. The reversal of 21274224400 is 442247212.

It is not an unprimeable number, because it can be changed into a prime (21274224407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128764 + ... + 243163.

Almost surely, 221274224400 is an apocalyptic number.

21274224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21274224400 is an abundant number, since it is smaller than the sum of its proper divisors (38772807344).

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

21274224400 is a wasteful number, since it uses less digits than its factorization.

21274224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371969 (or 371958 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 21274224400 in words is "twenty-one billion, two hundred seventy-four million, two hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 371927 743854 1487708 1859635 2975416 3719270 4091197 4835051 5950832 7438540 8182394 9298175 9670102 14877080 16364788 18596350 19340204 20455985 24175255 29754160 32729576 37192700 38680408 40911970 48350510 53185561 65459152 74385400 77360816 81823940 96701020 102279925 106371122 120876275 148770800 163647880 193402040 204559850 212742244 241752550 265927805 327295760 386804080 409119700 425484488 483505100 531855610 818239400 850968976 967010200 1063711220 1329639025 1636478800 1934020400 2127422440 2659278050 4254844880 5318556100 10637112200 21274224400