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1220381512 = 237711911607
BaseRepresentation
bin100100010111101…
…1000101101001000
310011001100210201021
41020233120231020
54444404202022
6321033002224
742146033410
oct11057305510
93131323637
101220381512
11576967769
122a0853374
13165aac44c
14b8117640
15722147c7
hex48bd8b48

1220381512 has 64 divisors (see below), whose sum is σ = 2667479040. Its totient is φ = 512635200.

The previous prime is 1220381507. The next prime is 1220381521. The reversal of 1220381512 is 2151830221.

It is a super-2 number, since 2×12203815122 = 2978662069662812288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758613 + ... + 760219.

It is an arithmetic number, because the mean of its divisors is an integer number (41679360).

Almost surely, 21220381512 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 1220381512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333739520).

1220381512 is an abundant number, since it is smaller than the sum of its proper divisors (1447097528).

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

1220381512 is a wasteful number, since it uses less digits than its factorization.

1220381512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1220381512 is about 34933.9592946462. The cubic root of 1220381512 is about 1068.6411002113.

The spelling of 1220381512 in words is "one billion, two hundred twenty million, three hundred eighty-one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 71 142 191 284 382 497 568 764 994 1337 1528 1607 1988 2674 3214 3976 5348 6428 10696 11249 12856 13561 22498 27122 44996 54244 89992 94927 108488 114097 189854 228194 306937 379708 456388 613874 759416 798679 912776 1227748 1597358 2148559 2455496 3194716 4297118 6389432 8594236 17188472 21792527 43585054 87170108 152547689 174340216 305095378 610190756 1220381512