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22100332032 = 29331739241
BaseRepresentation
bin10100100101010010…
…000100111000000000
32010001012200012011000
4110211102010320000
5330230141111112
614052554452000
71411444502622
oct244522047000
963035605130
1022100332032
119411074619
124349434000
13211288095c
1410d921ac12
1589534b7dc
hex525484e00

22100332032 has 160 divisors (see below), whose sum is σ = 65803779360. Its totient is φ = 7323402240.

The previous prime is 22100332003. The next prime is 22100332091. The reversal of 22100332032 is 23023300122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22100331996 and 22100332014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386932 + ... + 2396172.

It is an arithmetic number, because the mean of its divisors is an integer number (411273621).

Almost surely, 222100332032 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 22100332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901889680).

22100332032 is an abundant number, since it is smaller than the sum of its proper divisors (43703447328).

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

22100332032 is an equidigital number, since it uses as much as digits as its factorization.

22100332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22100332032 its reverse (23023300122), we get a palindrome (45123632154).

The spelling of 22100332032 in words is "twenty-two billion, one hundred million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 173 192 216 256 288 346 384 432 512 519 576 692 768 864 1038 1152 1384 1536 1557 1728 2076 2304 2768 3114 3456 4152 4608 4671 5536 6228 6912 8304 9241 9342 11072 12456 13824 16608 18482 18684 22144 24912 27723 33216 36964 37368 44288 49824 55446 66432 73928 74736 83169 88576 99648 110892 132864 147856 149472 166338 199296 221784 249507 265728 295712 298944 332676 398592 443568 499014 591424 597888 665352 797184 887136 998028 1182848 1195776 1330704 1598693 1774272 1996056 2365696 2391552 2661408 3197386 3548544 3992112 4731392 4796079 5322816 6394772 7097088 7984224 9592158 10645632 12789544 14194176 14388237 15968448 19184316 21291264 25579088 28776474 31936896 38368632 42582528 43164711 51158176 57552948 63873792 76737264 86329422 102316352 115105896 127747584 153474528 172658844 204632704 230211792 306949056 345317688 409265408 460423584 613898112 690635376 818530816 920847168 1227796224 1381270752 1841694336 2455592448 2762541504 3683388672 5525083008 7366777344 11050166016 22100332032