Search a number
-
+
20220002232 = 233171273171231
BaseRepresentation
bin10010110101001101…
…001011111110111000
31221012011111112120120
4102311031023332320
5312402310032412
613142224453240
71314033116553
oct226515137670
957164445516
1020220002232
118636733a51
123b0377a220
131ba3146381
14d9b5d369a
157d5226b8c
hex4b534bfb8

20220002232 has 128 divisors (see below), whose sum is σ = 54159114240. Its totient is φ = 6268631040.

The previous prime is 20220002227. The next prime is 20220002261. The reversal of 20220002232 is 23220002202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16425057 + ... + 16426287.

It is an arithmetic number, because the mean of its divisors is an integer number (423118080).

Almost surely, 220220002232 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 20220002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079557120).

20220002232 is an abundant number, since it is smaller than the sum of its proper divisors (33939112008).

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

20220002232 is a wasteful number, since it uses less digits than its factorization.

20220002232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20220002232 its reverse (23220002202), we get a palindrome (43440004434).

The spelling of 20220002232 in words is "twenty billion, two hundred twenty million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 317 381 408 508 634 762 951 1016 1231 1268 1524 1902 2159 2462 2536 3048 3693 3804 4318 4924 5389 6477 7386 7608 8636 9848 10778 12954 14772 16167 17272 20927 21556 25908 29544 32334 40259 41854 43112 51816 62781 64668 80518 83708 120777 125562 129336 156337 161036 167416 241554 251124 312674 322072 390227 469011 483108 502248 625348 684403 780454 938022 966216 1170681 1250696 1368806 1560908 1876044 2053209 2341362 2657729 2737612 3121816 3752088 4106418 4682724 5315458 5475224 6633859 7973187 8212836 9365448 10630916 13267718 15946374 16425672 19901577 21261832 26535436 31892748 39803154 49558829 53070872 63785496 79606308 99117658 148676487 159212616 198235316 297352974 396470632 594705948 842500093 1189411896 1685000186 2527500279 3370000372 5055000558 6740000744 10110001116 20220002232