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2250015712 = 257231411129
BaseRepresentation
bin1000011000011100…
…1000001111100000
312210210210122022021
42012013020033200
514102001000322
61011133351224
7106520550400
oct20607101740
95723718267
102250015712
11a5509111a
12529638514
1329b1c3c59
14174b7a800
15d27eb4c7
hex861c83e0

2250015712 has 144 divisors (see below), whose sum is σ = 5453723520. Its totient is φ = 909619200.

The previous prime is 2250015697. The next prime is 2250015727. The reversal of 2250015712 is 2175100522.

It is an interprime number because it is at equal distance from previous prime (2250015697) and next prime (2250015727).

It is a congruent number.

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, 1992364 + ... + 1993492.

It is an arithmetic number, because the mean of its divisors is an integer number (37873080).

Almost surely, 22250015712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250015712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726861760).

2250015712 is an abundant number, since it is smaller than the sum of its proper divisors (3203707808).

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

2250015712 is a wasteful number, since it uses less digits than its factorization.

2250015712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 2250015712 is about 47434.3305212585. The cubic root of 2250015712 is about 1310.3737472521.

The spelling of 2250015712 in words is "two billion, two hundred fifty million, fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 49 56 62 82 98 112 124 164 196 217 224 248 287 328 392 434 496 574 656 784 868 992 1129 1148 1271 1312 1519 1568 1736 2009 2258 2296 2542 3038 3472 4018 4516 4592 5084 6076 6944 7903 8036 8897 9032 9184 10168 12152 15806 16072 17794 18064 20336 24304 31612 32144 34999 35588 36128 40672 46289 48608 55321 62279 63224 64288 69998 71176 92578 110642 124558 126448 139996 142352 185156 221284 244993 249116 252896 279992 284704 324023 370312 442568 489986 498232 559984 648046 740624 885136 979972 996464 1119968 1296092 1434959 1481248 1714951 1770272 1959944 1992928 2268161 2592184 2869918 3429902 3919888 4536322 5184368 5739836 6859804 7839776 9072644 10044713 10368736 11479672 13719608 18145288 20089426 22959344 27439216 36290576 40178852 45918688 54878432 70312991 72581152 80357704 140625982 160715408 281251964 321430816 562503928 1125007856 2250015712