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2252495616 = 28372318217
BaseRepresentation
bin1000011001000010…
…0101101100000000
312210222110122002120
42012100211230000
514103114324431
61011302444240
7106550616420
oct20620455400
95728418076
102252495616
11a56525328
1252a433680
1329b881957
14175224480
15d2b3b196
hex86425b00

2252495616 has 144 divisors (see below), whose sum is σ = 7149617664. Its totient is φ = 615555072.

The previous prime is 2252495611. The next prime is 2252495621. The reversal of 2252495616 is 6165942522.

It is an interprime number because it is at equal distance from previous prime (2252495611) and next prime (2252495621).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2252495611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114540 + ... + 132756.

Almost surely, 22252495616 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 2252495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574808832).

2252495616 is an abundant number, since it is smaller than the sum of its proper divisors (4897122048).

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

2252495616 is a wasteful number, since it uses less digits than its factorization.

2252495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18266 (or 18252 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 2252495616 is about 47460.4637145488. The cubic root of 2252495616 is about 1310.8549895144.

The spelling of 2252495616 in words is "two billion, two hundred fifty-two million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 18217 20608 30912 36434 41216 54651 61824 72868 109302 123648 127519 145736 218604 255038 291472 382557 418991 437208 510076 582944 765114 837982 874416 1020152 1165888 1256973 1530228 1675964 1748832 2040304 2331776 2513946 2932937 3060456 3351928 3497664 4080608 4663552 5027892 5865874 6120912 6703856 6995328 8161216 8798811 10055784 11731748 12241824 13407712 13990656 16322432 17597622 20111568 23463496 24483648 26815424 32644864 35195244 40223136 46926992 48967296 53630848 70390488 80446272 93853984 97934592 107261696 140780976 160892544 187707968 281561952 321785088 375415936 563123904 750831872 1126247808 2252495616