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21022031232 = 273225497159
BaseRepresentation
bin10011100101000000…
…101011110110000000
32000021001122211112100
4103211000223312000
5321023114444412
613353555030400
71342642213536
oct234500536600
960231584470
1021022031232
118a08430234
1240a829b400
131ca0359947
141035d2a156
1583084eedc
hex4e502bd80

21022031232 has 96 divisors (see below), whose sum is σ = 60525270000. Its totient is φ = 7003616256.

The previous prime is 21022031231. The next prime is 21022031269. The reversal of 21022031232 is 23213022012.

21022031232 is a `hidden beast` number, since 210 + 220 + 3 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022031231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2932869 + ... + 2940027.

Almost surely, 221022031232 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 21022031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30262635000).

21022031232 is an abundant number, since it is smaller than the sum of its proper divisors (39503238768).

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

21022031232 is a wasteful number, since it uses less digits than its factorization.

21022031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21022031232 its reverse (23213022012), we get a palindrome (44235053244).

The spelling of 21022031232 in words is "twenty-one billion, twenty-two million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2549 5098 7159 7647 10196 14318 15294 20392 21477 22941 28636 30588 40784 42954 45882 57272 61176 64431 81568 85908 91764 114544 122352 128862 163136 171816 183528 229088 244704 257724 326272 343632 367056 458176 489408 515448 687264 734112 916352 978816 1030896 1374528 1468224 2061792 2749056 2936448 4123584 8247168 18248291 36496582 54744873 72993164 109489746 145986328 164234619 218979492 291972656 328469238 437958984 583945312 656938476 875917968 1167890624 1313876952 1751835936 2335781248 2627753904 3503671872 5255507808 7007343744 10511015616 21022031232