Search a number
-
+
221151694920 = 233513424133427
BaseRepresentation
bin1100110111110110101…
…0110001000001001000
3210010211102221010011120
43031331222301001020
512110404313214140
6245332400155240
721656226251022
oct3157552610110
9703742833146
10221151694920
1185876403702
1236a3b308b20
1317b154a74a0
14a9bd321012
155b453881d0
hex337dab1048

221151694920 has 128 divisors (see below), whose sum is σ = 714679943040. Its totient is φ = 54422876160.

The previous prime is 221151694919. The next prime is 221151694991. The reversal of 221151694920 is 29496151122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6599247 + ... + 6632673.

It is an arithmetic number, because the mean of its divisors is an integer number (5583437055).

Almost surely, 2221151694920 is an apocalyptic number.

221151694920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221151694920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357339971520).

221151694920 is an abundant number, since it is smaller than the sum of its proper divisors (493528248120).

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

221151694920 is a wasteful number, since it uses less digits than its factorization.

221151694920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37695 (or 37691 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 221151694920 in words is "two hundred twenty-one billion, one hundred fifty-one million, six hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4241 8482 12723 16964 21205 25446 33427 33928 42410 50892 55133 63615 66854 84820 100281 101784 110266 127230 133708 165399 167135 169640 200562 220532 254460 267416 275665 330798 334270 401124 434551 441064 501405 508920 551330 661596 668540 802248 826995 869102 1002810 1102660 1303653 1323192 1337080 1653990 1738204 2005620 2172755 2205320 2607306 3307980 3476408 4011240 4345510 5214612 6518265 6615960 8691020 10429224 13036530 17382040 26073060 52146120 141763907 283527814 425291721 567055628 708819535 850583442 1134111256 1417639070 1701166884 1842930791 2126458605 2835278140 3402333768 3685861582 4252917210 5528792373 5670556280 7371723164 8505834420 9214653955 11057584746 14743446328 17011668840 18429307910 22115169492 27643961865 36858615820 44230338984 55287923730 73717231640 110575847460 221151694920