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21533414200 = 23522316728031
BaseRepresentation
bin10100000011011111…
…011101001100111000
32001120200220210002021
4110003133131030320
5323100023223300
613520423444224
71361422000144
oct240337351470
961520823067
1021533414200
119150061891
12420b5b6674
132052298c0c
141083c06224
158606b5d1a
hex5037dd338

21533414200 has 96 divisors (see below), whose sum is σ = 52556636160. Its totient is φ = 8189244800.

The previous prime is 21533414197. The next prime is 21533414213. The reversal of 21533414200 is 241433512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754185 + ... + 782215.

It is an arithmetic number, because the mean of its divisors is an integer number (547464960).

Almost surely, 221533414200 is an apocalyptic number.

21533414200 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 21533414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26278318080).

21533414200 is an abundant number, since it is smaller than the sum of its proper divisors (31023221960).

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

21533414200 is a wasteful number, since it uses less digits than its factorization.

21533414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28237 (or 28228 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21533414200 its reverse (241433512), we get a palindrome (21774847712).

The spelling of 21533414200 in words is "twenty-one billion, five hundred thirty-three million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 167 184 200 230 334 460 575 668 835 920 1150 1336 1670 2300 3340 3841 4175 4600 6680 7682 8350 15364 16700 19205 28031 30728 33400 38410 56062 76820 96025 112124 140155 153640 192050 224248 280310 384100 560620 644713 700775 768200 1121240 1289426 1401550 2578852 2803100 3223565 4681177 5157704 5606200 6447130 9362354 12894260 16117825 18724708 23405885 25788520 32235650 37449416 46811770 64471300 93623540 107667071 117029425 128942600 187247080 215334142 234058850 430668284 468117700 538335355 861336568 936235400 1076670710 2153341420 2691676775 4306682840 5383353550 10766707100 21533414200