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22630672 = 24171929151
BaseRepresentation
bin101011001010…
…1000100010000
31120120202110001
41112111010100
521243140142
62125015344
7363233431
oct126250420
946522401
1022630672
1111857839
1276b4554
1348c493c
143011488
151ec05b7
hex1595110

22630672 has 80 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 9676800.

The previous prime is 22630669. The next prime is 22630687. The reversal of 22630672 is 27603622.

It is a self number, because there is not a number n which added to its sum of digits gives 22630672.

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, 149797 + ... + 149947.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 222630672 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 22630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

22630672 is an abundant number, since it is smaller than the sum of its proper divisors (28258928).

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

22630672 is a wasteful number, since it uses less digits than its factorization.

22630672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 22630672 is about 4757.1705876498. The cubic root of 22630672 is about 282.8562743328.

The spelling of 22630672 in words is "twenty-two million, six hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 116 136 151 152 232 272 302 304 323 464 493 551 604 646 986 1102 1208 1292 1972 2204 2416 2567 2584 2869 3944 4379 4408 5134 5168 5738 7888 8758 8816 9367 10268 11476 17516 18734 20536 22952 35032 37468 41072 45904 48773 70064 74443 74936 83201 97546 148886 149872 166402 195092 297772 332804 390184 595544 665608 780368 1191088 1331216 1414417 2828834 5657668 11315336 22630672