Search a number
-
+
220434229458 = 2327927332677
BaseRepresentation
bin1100110101001011100…
…1110110100011010010
3210001222102220002120200
43031102321312203102
512102422130320313
6245133250320030
721632365015002
oct3152271664322
9701872802520
10220434229458
1185538415243
123687ab89016
1317a2c961501
14a951d1c002
155b023b5b73
hex3352e768d2

220434229458 has 72 divisors (see below), whose sum is σ = 484570565388. Its totient is φ = 72421936704.

The previous prime is 220434229427. The next prime is 220434229489. The reversal of 220434229458 is 854922434022.

It is an interprime number because it is at equal distance from previous prime (220434229427) and next prime (220434229489).

It can be written as a sum of positive squares in 2 ways, for example, as 220427433009 + 6796449 = 469497^2 + 2607^2 .

It is a super-4 number, since 4×2204342294584 (a number of 46 digits) contains 4444 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82342416 + ... + 82345092.

Almost surely, 2220434229458 is an apocalyptic number.

220434229458 is an abundant number, since it is smaller than the sum of its proper divisors (264136335930).

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

220434229458 is a wasteful number, since it uses less digits than its factorization.

220434229458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 220434229458 in words is "two hundred twenty billion, four hundred thirty-four million, two hundred twenty-nine thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 733 1422 1466 2199 2677 4398 5354 6241 6597 8031 12482 13194 16062 18723 24093 37446 48186 56169 57907 112338 115814 173721 211483 347442 422966 521163 634449 1042326 1268898 1903347 1962241 3806694 3924482 4574653 5886723 9149306 11773446 13723959 16707157 17660169 27447918 33414314 35320338 41171877 50121471 82343754 100242942 150364413 155017039 300728826 310034078 465051117 930102234 1395153351 2790306702 12246346081 24492692162 36739038243 73478076486 110217114729 220434229458