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3221221112032 = 257211619301711
BaseRepresentation
bin101110110111111111101…
…111010111100011100000
3102101221112102211010222211
4232313333233113203200
5410234030101041112
610503450351411504
7451503601453300
oct56677757274340
912357472733884
103221221112032
1110321263824a0
12440364523b94
131a49b55007b1
14b1c9d527600
1558bd0c400a7
hex2edffbd78e0

3221221112032 has 144 divisors (see below), whose sum is σ = 8060851572480. Its totient is φ = 1252989561600.

The previous prime is 3221221112009. The next prime is 3221221112033. The reversal of 3221221112032 is 2302111221223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3221221111994 and 3221221112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221221112033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10525657 + ... + 10827367.

It is an arithmetic number, because the mean of its divisors is an integer number (55978135920).

Almost surely, 23221221112032 is an apocalyptic number.

3221221112032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221221112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030425786240).

3221221112032 is an abundant number, since it is smaller than the sum of its proper divisors (4839630460448).

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

3221221112032 is a wasteful number, since it uses less digits than its factorization.

3221221112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302365 (or 302350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3221221112032 its reverse (2302111221223), we get a palindrome (5523332333255).

The spelling of 3221221112032 in words is "three trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 619 784 1078 1232 1238 1568 2156 2464 2476 4312 4333 4952 6809 8624 8666 9904 13618 17248 17332 19808 27236 30331 34664 47663 54472 60662 69328 95326 108944 121324 138656 190652 217888 242648 301711 333641 381304 485296 603422 667282 762608 970592 1206844 1334564 1525216 2111977 2413688 2669128 3318821 4223954 4827376 5338256 6637642 8447908 9654752 10676512 13275284 14783839 16895816 23231747 26550568 29567678 33791632 46463494 53101136 59135356 67583264 92926988 106202272 118270712 162622229 185853976 186759109 236541424 325244458 371707952 373518218 473082848 650488916 743415904 747036436 1300977832 1307313763 1494072872 2054350199 2601955664 2614627526 2988145744 4108700398 5203911328 5229255052 5976291488 8217400796 9151196341 10458510104 14380451393 16434801592 18302392682 20917020208 28760902786 32869603184 36604785364 41834040416 57521805572 65739206368 73209570728 100663159751 115043611144 146419141456 201326319502 230087222288 292838282912 402652639004 460174444576 805305278008 1610610556016 3221221112032