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225006322520 = 23573731369389
BaseRepresentation
bin1101000110001101101…
…1000000001101011000
3210111210002002111011202
43101203123000031120
512141303104310040
6251211054213332
722153603120250
oct3214333001530
9714702074152
10225006322520
1187474226451
12377361b4248
13182aac5a415
14ac67232960
155cbd995015
hex34636c0358

225006322520 has 128 divisors (see below), whose sum is σ = 596132265600. Its totient is φ = 74819137536.

The previous prime is 225006322487. The next prime is 225006322549. The reversal of 225006322520 is 25223600522.

It is a congruent number.

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, 3207986 + ... + 3277374.

It is an arithmetic number, because the mean of its divisors is an integer number (4657283325).

Almost surely, 2225006322520 is an apocalyptic number.

225006322520 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 225006322520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298066132800).

225006322520 is an abundant number, since it is smaller than the sum of its proper divisors (371125943080).

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

225006322520 is a wasteful number, since it uses less digits than its factorization.

225006322520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69757 (or 69753 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 225006322520 in words is "two hundred twenty-five billion, six million, three hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 313 370 518 626 740 1036 1252 1295 1480 1565 2072 2191 2504 2590 3130 4382 5180 6260 8764 10360 10955 11581 12520 17528 21910 23162 43820 46324 57905 69389 81067 87640 92648 115810 138778 162134 231620 277556 324268 346945 405335 463240 485723 555112 648536 693890 810670 971446 1387780 1621340 1942892 2428615 2567393 2775560 3242680 3885784 4857230 5134786 9714460 10269572 12836965 17971751 19428920 20539144 21718757 25673930 35943502 43437514 51347860 71887004 86875028 89858755 102695720 108593785 143774008 152031299 173750056 179717510 217187570 304062598 359435020 434375140 608125196 718870040 760156495 803594009 868750280 1216250392 1520312990 1607188018 3040625980 3214376036 4017970045 5625158063 6081251960 6428752072 8035940090 11250316126 16071880180 22500632252 28125790315 32143760360 45001264504 56251580630 112503161260 225006322520