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21938349700 = 22523141172607
BaseRepresentation
bin10100011011101000…
…001010011010000100
32002121220212122011101
4110123220022122010
5324412204142300
614024530545444
71404436616131
oct243350123204
962556778141
1021938349700
119338698923
124303138284
1320b8147b17
1410c18d3588
15886001b6a
hex51ba0a684

21938349700 has 72 divisors (see below), whose sum is σ = 50340777984. Its totient is φ = 8285088000.

The previous prime is 21938349689. The next prime is 21938349707. The reversal of 21938349700 is 794383912.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21938349707) 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, 40797 + ... + 213403.

It is an arithmetic number, because the mean of its divisors is an integer number (699177472).

Almost surely, 221938349700 is an apocalyptic number.

21938349700 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 21938349700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25170388992).

21938349700 is an abundant number, since it is smaller than the sum of its proper divisors (28402428284).

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

21938349700 is a wasteful number, since it uses less digits than its factorization.

21938349700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172693 (or 172686 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 21938349700 in words is "twenty-one billion, nine hundred thirty-eight million, three hundred forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 620 775 820 1025 1271 1550 2050 2542 3100 4100 5084 6355 12710 25420 31775 63550 127100 172607 345214 690428 863035 1726070 3452140 4315175 5350817 7076887 8630350 10701634 14153774 17260700 21403268 26754085 28307548 35384435 53508170 70768870 107016340 133770425 141537740 176922175 219383497 267540850 353844350 438766994 535081700 707688700 877533988 1096917485 2193834970 4387669940 5484587425 10969174850 21938349700