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223919673632 = 2523236372
BaseRepresentation
bin1101000010001010100…
…1110001000100100000
3210101222100101000010122
43100202221301010200
512132041414024012
6250511155415412
722114636551554
oct3204251610440
9711870330118
10223919673632
1186a66900016
12374922b4568
1318166aa2705
14aba2bab864
155c58399e72
hex3422a71120

223919673632 has 54 divisors (see below), whose sum is σ = 460968988473. Its totient is φ = 107062572672.

The previous prime is 223919673629. The next prime is 223919673641. The reversal of 223919673632 is 236376919322.

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 148098746896 + 75820926736 = 384836^2 + 275356^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334604.

It is a super-2 number, since 2×2239196736322 (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 61565318 + ... + 61568954.

Almost surely, 2223919673632 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 223919673632

223919673632 is an abundant number, since it is smaller than the sum of its proper divisors (237049314841).

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

223919673632 is an frugal number, since it uses more digits than its factorization.

223919673632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 3662 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 53.

The spelling of 223919673632 in words is "two hundred twenty-three billion, nine hundred nineteen million, six hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 3637 4232 7274 8464 14548 16928 29096 58192 83651 116384 167302 334604 669208 1338416 1923973 2676832 3847946 7695892 13227769 15391784 26455538 30783568 52911076 61567136 105822152 211644304 304238687 423288608 608477374 1216954748 2433909496 4867818992 6997489801 9735637984 13994979602 27989959204 55979918408 111959836816 223919673632