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22342102132 = 227431101743
BaseRepresentation
bin10100110011101100…
…010110110001110100
32010200001121101101011
4110303230112301310
5331224034232012
614132552442004
71420441510000
oct246354266164
963601541334
1022342102132
119525597019
1243b63a9304
1321509a139c
14111d393700
158ab6a71a7
hex533b16c74

22342102132 has 120 divisors (see below), whose sum is σ = 47613952512. Its totient is φ = 9162216000.

The previous prime is 22342102073. The next prime is 22342102169. The reversal of 22342102132 is 23120124322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30069753 + ... + 30070495.

Almost surely, 222342102132 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 22342102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23806976256).

22342102132 is an abundant number, since it is smaller than the sum of its proper divisors (25271850380).

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

22342102132 is a wasteful number, since it uses less digits than its factorization.

22342102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22342102132 its reverse (23120124322), we get a palindrome (45462226454).

The spelling of 22342102132 in words is "twenty-two billion, three hundred forty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 101 124 196 202 217 343 404 434 686 707 743 868 1372 1414 1486 1519 2401 2828 2972 3038 3131 4802 4949 5201 6076 6262 9604 9898 10402 10633 12524 19796 20804 21266 21917 23033 34643 36407 42532 43834 46066 69286 72814 74431 75043 87668 92132 138572 145628 148862 150086 153419 161231 242501 254849 297724 300172 306838 322462 485002 509698 525301 613676 644924 970004 1019396 1050602 1073933 1128617 1783943 2101204 2147866 2257234 2326333 3567886 3677107 4295732 4514468 4652666 7135772 7354214 7517531 7900319 9305332 14708428 15035062 15800638 16284331 25739749 30070124 31601276 32568662 51479498 55302233 65137324 102958996 110604466 113990317 180178243 221208932 227980634 360356486 455961268 720712972 797932219 1595864438 3191728876 5585525533 11171051066 22342102132