Search a number
-
+
21223233232290 = 234537708149257
BaseRepresentation
bin1001101001101011010110…
…10001110001110110100010
32210010220212121121002210000
410310311223101301312202
510240210140201413130
6113045452503320430
74320220334652015
oct464655321616642
983126777532700
1021223233232290
1168427a4964451
122469255a50116
13bac45b07c16b
145352d222737c
1526c0e95a2260
hex134d6b471da2

21223233232290 has 80 divisors (see below), whose sum is σ = 58609265189112. Its totient is φ = 5506568614656.

The previous prime is 21223233232147. The next prime is 21223233232291. The reversal of 21223233232290 is 9223233232212.

21223233232290 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 2 + 332 + 32 + 290 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15626975891409 + 5596257340881 = 3953097^2 + 2365641^2 .

It is not an unprimeable number, because it can be changed into a prime (21223233232291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 354044659 + ... + 354104598.

Almost surely, 221223233232290 is an apocalyptic number.

21223233232290 is an abundant number, since it is smaller than the sum of its proper divisors (37386031956822).

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

21223233232290 is a wasteful number, since it uses less digits than its factorization.

21223233232290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708149313 (or 708149304 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 21223233232290 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4995 5994 9990 14985 29970 708149257 1416298514 2124447771 3540746285 4248895542 6373343313 7081492570 10622238855 12746686626 19120029939 21244477710 26201522509 31866716565 38240059878 52403045018 57360089817 63733433130 78604567527 95600149695 114720179634 131007612545 157209135054 191200299390 235813702581 262015225090 286800449085 393022837635 471627405162 573600898170 707441107743 786045675270 1179068512905 1414882215486 2122323323229 2358137025810 3537205538715 4244646646458 7074411077430 10611616616145 21223233232290