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20000122192 = 24173114915919
BaseRepresentation
bin10010101000000110…
…011010010101010000
31220121211202110212101
4102220012122111100
5311430012402232
613104332010144
71305423143101
oct225006322520
956554673771
1020000122192
118533602906
123a62000954
131b6971b43b
14d7a3183a8
157c0c921e7
hex4a819a550

20000122192 has 80 divisors (see below), whose sum is σ = 42640128000. Its totient is φ = 9046517760.

The previous prime is 20000122183. The next prime is 20000122201. The reversal of 20000122192 is 29122100002.

It is an interprime number because it is at equal distance from previous prime (20000122183) and next prime (20000122201).

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 15 ways as a sum of consecutive naturals, for example, 1248409 + ... + 1264327.

It is an arithmetic number, because the mean of its divisors is an integer number (533001600).

Almost surely, 220000122192 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 20000122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320064000).

20000122192 is an abundant number, since it is smaller than the sum of its proper divisors (22640005808).

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

20000122192 is a wasteful number, since it uses less digits than its factorization.

20000122192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 20000122192 its reverse (29122100002), we get a palindrome (49122222194).

The spelling of 20000122192 in words is "twenty billion, one hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 149 248 272 298 496 527 596 1054 1192 2108 2384 2533 4216 4619 5066 8432 9238 10132 15919 18476 20264 31838 36952 40528 63676 73904 78523 127352 157046 254704 270623 314092 493489 541246 628184 986978 1082492 1256368 1973956 2164984 2371931 3947912 4329968 4743862 7895824 8389313 9487724 16778626 18975448 33557252 37950896 40322827 67114504 73529861 80645654 134229008 147059722 161291308 294119444 322582616 588238888 645165232 1176477776 1250007637 2500015274 5000030548 10000061096 20000122192