Search a number
-
+
226311221520 = 24325405177591
BaseRepresentation
bin1101001011000100110…
…0110011000100010000
3210122011000111020002100
43102301030303010100
512201441133042040
6251544350520400
722231126433436
oct3226114630420
9718130436070
10226311221520
1187a8386a37a
1237a3b206100
13184583bc1c7
14ad4c66ad56
155d48301b30
hex34b1333110

226311221520 has 120 divisors (see below), whose sum is σ = 760225931712. Its totient is φ = 60333984000.

The previous prime is 226311221453. The next prime is 226311221533. The reversal of 226311221520 is 25122113622.

226311221520 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 112 + 21 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2263112215202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877925 + ... + 2955515.

Almost surely, 2226311221520 is an apocalyptic number.

226311221520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226311221520 is an abundant number, since it is smaller than the sum of its proper divisors (533914710192).

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

226311221520 is a wasteful number, since it uses less digits than its factorization.

226311221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81661 (or 81652 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 226311221520 in words is "two hundred twenty-six billion, three hundred eleven million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4051 8102 12153 16204 20255 24306 32408 36459 40510 48612 60765 64816 72918 77591 81020 97224 121530 145836 155182 162040 182295 194448 232773 243060 291672 310364 324080 364590 387955 465546 486120 583344 620728 698319 729180 775910 931092 972240 1163865 1241456 1396638 1458360 1551820 1862184 2327730 2793276 2916720 3103640 3491595 3724368 4655460 5586552 6207280 6983190 9310920 11173104 13966380 18621840 27932760 55865520 314321141 628642282 942963423 1257284564 1571605705 1885926846 2514569128 2828890269 3143211410 3771853692 4714817115 5029138256 5657780538 6286422820 7543707384 9429634230 11315561076 12572845640 14144451345 15087414768 18859268460 22631122152 25145691280 28288902690 37718536920 45262244304 56577805380 75437073840 113155610760 226311221520