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225522520020 = 223257202788301
BaseRepresentation
bin1101001000001000110…
…0001000111111010100
3210120010001102001000200
43102002030020333110
512143332231120040
6251334214140500
722202441535240
oct3220214107724
9716101361020
10225522520020
1187709646256
123785b051730
1318360b93c25
14acb5a03420
155cede5c630
hex3482308fd4

225522520020 has 144 divisors (see below), whose sum is σ = 782205959808. Its totient is φ = 51521990400.

The previous prime is 225522519967. The next prime is 225522520051. The reversal of 225522520020 is 20025225522.

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, 2509870 + ... + 2598170.

It is an arithmetic number, because the mean of its divisors is an integer number (5431985832).

Almost surely, 2225522520020 is an apocalyptic number.

225522520020 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 225522520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391102979904).

225522520020 is an abundant number, since it is smaller than the sum of its proper divisors (556683439788).

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

225522520020 is a wasteful number, since it uses less digits than its factorization.

225522520020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90350 (or 90345 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 225522520020 its reverse (20025225522), we get a palindrome (245547745542).

The spelling of 225522520020 in words is "two hundred twenty-five billion, five hundred twenty-two million, five hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2027 4054 6081 8108 10135 12162 14189 18243 20270 24324 28378 30405 36486 40540 42567 56756 60810 70945 72972 85134 88301 91215 121620 127701 141890 170268 176602 182430 212835 255402 264903 283780 353204 364860 425670 441505 510804 529806 618107 638505 794709 851340 883010 1059612 1236214 1277010 1324515 1589418 1766020 1854321 2472428 2554020 2649030 3090535 3178836 3708642 3973545 5298060 5562963 6181070 7417284 7947090 9271605 11125926 12362140 15894180 18543210 22251852 27814815 37086420 55629630 111259260 178986127 357972254 536958381 715944508 894930635 1073916762 1252902889 1610875143 1789861270 2147833524 2505805778 2684791905 3221750286 3579722540 3758708667 5011611556 5369583810 6264514445 6443500572 7517417334 8054375715 10739167620 11276126001 12529028890 15034834668 16108751430 18793543335 22552252002 25058057780 32217502860 37587086670 45104504004 56380630005 75174173340 112761260010 225522520020