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249224430 = 23571391291
BaseRepresentation
bin11101101101011…
…01110011101110
3122100221220122110
432312231303232
51002300140210
640421424450
76114241560
oct1666556356
9570856573
10249224430
11118754004
126b56b126
133c8306a0
1425157330
1516d2e420
hexedadcee

249224430 has 64 divisors (see below), whose sum is σ = 736178688. Its totient is φ = 52583040.

The previous prime is 249224429. The next prime is 249224447. The reversal of 249224430 is 34422942.

It is a super-2 number, since 2×2492244302 = 124225633017649800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42916 + ... + 48375.

It is an arithmetic number, because the mean of its divisors is an integer number (11502792).

Almost surely, 2249224430 is an apocalyptic number.

249224430 is an abundant number, since it is smaller than the sum of its proper divisors (486954258).

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

249224430 is a wasteful number, since it uses less digits than its factorization.

249224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91321.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 249224430 is about 15786.8435730516. The cubic root of 249224430 is about 629.3084121572.

The spelling of 249224430 in words is "two hundred forty-nine million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 91291 182582 273873 456455 547746 639037 912910 1186783 1278074 1369365 1917111 2373566 2738730 3195185 3560349 3834222 5933915 6390370 7120698 8307481 9585555 11867830 16614962 17801745 19171110 24922443 35603490 41537405 49844886 83074810 124612215 249224430