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220322331132 = 223312167233491
BaseRepresentation
bin1100110100110000111…
…0111111100111111100
3210001200122100001221020
43031030032333213330
512102210004044012
6245114212104140
721626535625551
oct3151416774774
9701618301836
10220322331132
1185490237392
1236849605050
1317a12713097
14a941110a28
155ae7660a8c
hex334c3bf9fc

220322331132 has 144 divisors (see below), whose sum is σ = 537771177216. Its totient is φ = 70199673600.

The previous prime is 220322331107. The next prime is 220322331137. The reversal of 220322331132 is 231133223022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220322331137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448721407 + ... + 448721897.

It is an arithmetic number, because the mean of its divisors is an integer number (3734522064).

Almost surely, 2220322331132 is an apocalyptic number.

It is an amenable number.

220322331132 is an abundant number, since it is smaller than the sum of its proper divisors (317448846084).

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

220322331132 is a wasteful number, since it uses less digits than its factorization.

220322331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220322331132 its reverse (231133223022), we get a palindrome (451455554154).

The spelling of 220322331132 in words is "two hundred twenty billion, three hundred twenty-two million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 167 186 233 334 372 466 491 501 668 699 932 961 982 1002 1398 1473 1922 1964 2004 2796 2883 2946 3844 5177 5766 5892 7223 10354 11532 14446 15221 15531 20708 21669 28892 30442 31062 38911 43338 45663 60884 62124 77822 81997 86676 91326 114403 116733 155644 160487 163994 182652 223913 228806 233466 245991 320974 327988 343209 447826 457612 466932 471851 481461 491982 641948 671739 686418 895652 943702 962922 983964 1206241 1343478 1372836 1415553 1887404 1925844 2412482 2541907 2686956 2831106 3546493 3618723 4824964 5083814 5662212 7092986 7237446 7625721 10167628 10639479 14185972 14474892 15251442 19105301 21278958 30502884 37393471 38210602 42557916 57315903 74786942 76421204 78799117 109941283 112180413 114631806 149573884 157598234 219882566 224360826 229263612 236397351 315196468 329823849 439765132 448721652 472794702 592264331 659647698 945589404 1184528662 1319295396 1776792993 2369057324 3553585986 7107171972 18360194261 36720388522 55080582783 73440777044 110161165566 220322331132