Search a number
-
+
223926152640 = 26352310141583
BaseRepresentation
bin1101000010001100001…
…0011110110111000000
3210101222210120011122220
43100203002132313000
512132100043341030
6250511550331040
722115045615031
oct3204302366700
9711883504586
10223926152640
1186a6a525873
12374944b9a80
1318168230748
14aba39b6a88
155c58c29a10
hex342309edc0

223926152640 has 112 divisors (see below), whose sum is σ = 741877152768. Its totient is φ = 57117389824.

The previous prime is 223926152633. The next prime is 223926152641. The reversal of 223926152640 is 46251629322.

It is a junction number, because it is equal to n+sod(n) for n = 223926152592 and 223926152601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223926152641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5048712 + ... + 5092871.

Almost surely, 2223926152640 is an apocalyptic number.

223926152640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223926152640 is an abundant number, since it is smaller than the sum of its proper divisors (517951000128).

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

223926152640 is a wasteful number, since it uses less digits than its factorization.

223926152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10141626 (or 10141616 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 223926152640 in words is "two hundred twenty-three billion, nine hundred twenty-six million, one hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 10141583 20283166 30424749 40566332 50707915 60849498 81132664 101415830 121698996 152123745 162265328 202831660 233256409 243397992 304247490 324530656 405663320 466512818 486795984 608494980 649061312 699769227 811326640 933025636 973591968 1166282045 1216989960 1399538454 1622653280 1866051272 1947183936 2332564090 2433979920 2799076908 3245306560 3498846135 3732102544 4665128180 4867959840 5598153816 6997692270 7464205088 9330256360 9735919680 11196307632 13995384540 14928410176 18660512720 22392615264 27990769080 37321025440 44785230528 55981538160 74642050880 111963076320 223926152640