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22213413012 = 22377110336161
BaseRepresentation
bin10100101100000001…
…011100100010010100
32010100002110022002110
4110230001130202110
5330443113204022
614112114311020
71414316616030
oct245401344224
963302408073
1022213413012
11946998aa7a
12437b288470
13213012448b
14110a2551c0
158a023700c
hex52c05c894

22213413012 has 96 divisors (see below), whose sum is σ = 60654956544. Its totient is φ = 6196377600.

The previous prime is 22213412993. The next prime is 22213413031. The reversal of 22213413012 is 21031431222.

It is an interprime number because it is at equal distance from previous prime (22213412993) and next prime (22213413031).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22213413012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596212 + ... + 632372.

It is an arithmetic number, because the mean of its divisors is an integer number (631822464).

Almost surely, 222213413012 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 22213413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30327478272).

22213413012 is an abundant number, since it is smaller than the sum of its proper divisors (38441543532).

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

22213413012 is a wasteful number, since it uses less digits than its factorization.

22213413012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36349 (or 36347 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22213413012 its reverse (21031431222), we get a palindrome (43244844234).

The spelling of 22213413012 in words is "twenty-two billion, two hundred thirteen million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 103 142 206 213 284 309 412 426 497 618 721 852 994 1236 1442 1491 1988 2163 2884 2982 4326 5964 7313 8652 14626 21939 29252 36161 43878 51191 72322 87756 102382 108483 144644 153573 204764 216966 253127 307146 433932 506254 614292 759381 1012508 1518762 2567431 3037524 3724583 5134862 7449166 7702293 10269724 11173749 14898332 15404586 17972017 22347498 26072081 30809172 35944034 44694996 52144162 53916051 71888068 78216243 104288324 107832102 156432486 215664204 264445393 312864972 528890786 793336179 1057781572 1586672358 1851117751 3173344716 3702235502 5553353253 7404471004 11106706506 22213413012