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22134133420 = 22572910750951
BaseRepresentation
bin10100100111010011…
…000001001010101100
32010010120021110221021
4110213103001022230
5330312314232140
614100203143524
71412335013140
oct244723011254
963116243837
1022134133420
119429161053
124358814ba4
132119886c89
1410dd8d9220
158982c6b4a
hex5274c12ac

22134133420 has 96 divisors (see below), whose sum is σ = 55468385280. Its totient is φ = 7258540800.

The previous prime is 22134133387. The next prime is 22134133447. The reversal of 22134133420 is 2433143122.

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, 408945 + ... + 459895.

It is an arithmetic number, because the mean of its divisors is an integer number (577795680).

Almost surely, 222134133420 is an apocalyptic number.

22134133420 is a gapful number since it is divisible by the number (20) 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 22134133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734192640).

22134133420 is an abundant number, since it is smaller than the sum of its proper divisors (33334251860).

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

22134133420 is a wasteful number, since it uses less digits than its factorization.

22134133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51103 (or 51101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22134133420 its reverse (2433143122), we get a palindrome (24567276542).

The spelling of 22134133420 in words is "twenty-two billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 107 116 140 145 203 214 290 406 428 535 580 749 812 1015 1070 1498 2030 2140 2996 3103 3745 4060 6206 7490 12412 14980 15515 21721 31030 43442 50951 62060 86884 101902 108605 203804 217210 254755 356657 434420 509510 713314 1019020 1426628 1477579 1783285 2955158 3566570 5451757 5910316 7133140 7387895 10343053 10903514 14775790 20686106 21807028 27258785 29551580 38162299 41372212 51715265 54517570 76324598 103430530 109035140 152649196 158100953 190811495 206861060 316201906 381622990 632403812 763245980 790504765 1106706671 1581009530 2213413342 3162019060 4426826684 5533533355 11067066710 22134133420