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2225520401310 = 23551061863197
BaseRepresentation
bin100000011000101011010…
…110100101101110011110
321212202110100021020200000
4200120223112211232132
5242430331210320220
64422220121515130
7316534320200313
oct40305326455636
97782410236600
102225520401310
1178892427a238
122bb3a2342aa6
13131b33b65b0b
1479a040a0d0a
153cd56b6c390
hex2062b5a5b9e

2225520401310 has 96 divisors (see below), whose sum is σ = 6006325040352. Its totient is φ = 592912068480.

The previous prime is 2225520401263. The next prime is 2225520401327. The reversal of 2225520401310 is 131040255222.

2225520401310 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 520 + 4 + 0 + 131 + 0 = 666.

2225520401310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22255204013102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2146632 + ... + 3009828.

It is an arithmetic number, because the mean of its divisors is an integer number (62565885837).

Almost surely, 22225520401310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225520401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003162520176).

2225520401310 is an abundant number, since it is smaller than the sum of its proper divisors (3780804639042).

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

2225520401310 is a wasteful number, since it uses less digits than its factorization.

2225520401310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864280 (or 864268 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2225520401310 its reverse (131040255222), we get a palindrome (2356560656532).

The spelling of 2225520401310 in words is "two trillion, two hundred twenty-five billion, five hundred twenty million, four hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1061 1215 2122 2430 3183 5305 6366 9549 10610 15915 19098 28647 31830 47745 57294 85941 95490 143235 171882 257823 286470 429705 515646 859410 863197 1289115 1726394 2578230 2589591 4315985 5179182 7768773 8631970 12947955 15537546 23306319 25895910 38843865 46612638 69918957 77687730 116531595 139837914 209756871 233063190 349594785 419513742 699189570 915852017 1048784355 1831704034 2097568710 2747556051 4579260085 5495112102 8242668153 9158520170 13737780255 16485336306 24728004459 27475560510 41213340765 49456008918 74184013377 82426681530 123640022295 148368026754 222552040131 247280044590 370920066885 445104080262 741840133770 1112760200655 2225520401310