Search a number
-
+
21551255200 = 25521072231129
BaseRepresentation
bin10100000100100011…
…100000111010100000
32001121221111012100001
4110010203200322200
5323114110131300
613522302105344
71362026434546
oct240443407240
961557435301
1021551255200
11915a138012
12421557b254
132055ba4717
14108632bd96
1586203c16a
hex5048e0ea0

21551255200 has 144 divisors (see below), whose sum is σ = 53389082880. Its totient is φ = 8494110720.

The previous prime is 21551255179. The next prime is 21551255239. The reversal of 21551255200 is 255215512.

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, 19088236 + ... + 19089364.

It is an arithmetic number, because the mean of its divisors is an integer number (370757520).

Almost surely, 221551255200 is an apocalyptic number.

21551255200 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 21551255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26694541440).

21551255200 is an abundant number, since it is smaller than the sum of its proper divisors (31837827680).

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

21551255200 is a wasteful number, since it uses less digits than its factorization.

21551255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The spelling of 21551255200 in words is "twenty-one billion, five hundred fifty-one million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 223 400 428 446 535 800 856 892 1070 1115 1129 1712 1784 2140 2230 2258 2675 3424 3568 4280 4460 4516 5350 5575 5645 7136 8560 8920 9032 10700 11150 11290 17120 17840 18064 21400 22300 22580 23861 28225 35680 36128 42800 44600 45160 47722 56450 85600 89200 90320 95444 112900 119305 120803 178400 180640 190888 225800 238610 241606 251767 381776 451600 477220 483212 503534 596525 604015 763552 903200 954440 966424 1007068 1193050 1208030 1258835 1908880 1932848 2014136 2386100 2416060 2517670 3020075 3817760 3865696 4028272 4772200 4832120 5035340 6040150 6294175 8056544 9544400 9664240 10070680 12080300 12588350 19088800 19328480 20141360 24160600 25176700 26939069 40282720 48321200 50353400 53878138 96642400 100706800 107756276 134695345 201413600 215512552 269390690 431025104 538781380 673476725 862050208 1077562760 1346953450 2155125520 2693906900 4310251040 5387813800 10775627600 21551255200