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220990156928 = 2737211232
BaseRepresentation
bin1100110111010000001…
…0100011000010000000
3210010102011222010200222
43031310002203002000
512110041440010203
6245304350002212
721652225224542
oct3156402430200
9703364863628
10220990156928
11857a3200832
12369b51a6368
1317abab98988
14a9a5ab1692
155b360ca038
hex33740a3080

220990156928 has 72 divisors (see below), whose sum is σ = 452877442605. Its totient is φ = 107412991488.

The previous prime is 220990156927. The next prime is 220990156987. The reversal of 220990156928 is 829651099022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 178293373504 + 42696783424 = 422248^2 + 206632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332408.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220990156928.

It is not an unprimeable number, because it can be changed into a prime (220990156927) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 196784975 + ... + 196786097.

Almost surely, 2220990156928 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 220990156928

220990156928 is an abundant number, since it is smaller than the sum of its proper divisors (231887285677).

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

220990156928 is an frugal number, since it uses more digits than its factorization.

220990156928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 220990156928 in words is "two hundred twenty billion, nine hundred ninety million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1123 1184 1369 2246 2368 2738 4492 4736 5476 8984 10952 17968 21904 35936 41551 43808 71872 83102 87616 143744 166204 175232 332408 664816 1261129 1329632 1537387 2522258 2659264 3074774 5044516 5318528 6149548 10089032 12299096 20178064 24598192 40356128 46661773 49196384 80712256 93323546 98392768 161424512 186647092 196785536 373294184 746588368 1493176736 1726485601 2986353472 3452971202 5972706944 6905942404 13811884808 27623769616 55247539232 110495078464 220990156928