Search a number
-
+
2252917056 = 26313902611
BaseRepresentation
bin1000011001001000…
…1100100101000000
312211000021001012110
42012102030211000
514103221321211
61011315455320
7106554323205
oct20622144500
95730231173
102252917056
11a56792a25
1252a5b7540
1329b99b720
141752d3cac
15d2bc0ea6
hex8648c940

2252917056 has 56 divisors (see below), whose sum is σ = 6419376544. Its totient is φ = 693204480.

The previous prime is 2252917049. The next prime is 2252917063. The reversal of 2252917056 is 6507192522.

It is an interprime number because it is at equal distance from previous prime (2252917049) and next prime (2252917063).

It is a super-2 number, since 2×22529170562 = 10151270522431414272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448810 + ... + 453801.

It is an arithmetic number, because the mean of its divisors is an integer number (114631724).

Almost surely, 22252917056 is an apocalyptic number.

2252917056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2252917056 is an abundant number, since it is smaller than the sum of its proper divisors (4166459488).

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

2252917056 is a wasteful number, since it uses less digits than its factorization.

2252917056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902639 (or 902629 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2252917056 is about 47464.9034129429. The cubic root of 2252917056 is about 1310.9367376982.

The spelling of 2252917056 in words is "two billion, two hundred fifty-two million, nine hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 902611 1805222 2707833 3610444 5415666 7220888 10831332 11733943 14441776 21662664 23467886 28883552 35201829 43325328 46935772 57767104 70403658 86650656 93871544 140807316 173301312 187743088 281614632 375486176 563229264 750972352 1126458528 2252917056