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2252656032 = 253112533659
BaseRepresentation
bin1000011001000100…
…1100110110100000
312210222202210010220
42012101030312200
514103134443112
61011310123040
7106552155204
oct20621146640
95728683126
102252656032
11a56624900
1252a4b0480
1329b909983
14175266b04
15d2b6d98c
hex8644cda0

2252656032 has 144 divisors (see below), whose sum is σ = 6624102240. Its totient is φ = 669560320.

The previous prime is 2252656031. The next prime is 2252656033. The reversal of 2252656032 is 2306562522.

It is an interprime number because it is at equal distance from previous prime (2252656031) and next prime (2252656033).

It is a super-3 number, since 3×22526560323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2252655984 and 2252656002.

It is not an unprimeable number, because it can be changed into a prime (2252656031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613819 + ... + 617477.

It is an arithmetic number, because the mean of its divisors is an integer number (46000710).

Almost surely, 22252656032 is an apocalyptic number.

2252656032 is a gapful number since it is divisible by the number (22) 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 2252656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312051120).

2252656032 is an abundant number, since it is smaller than the sum of its proper divisors (4371446208).

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

2252656032 is a wasteful number, since it uses less digits than its factorization.

2252656032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2252656032 is about 47462.1536805906. The cubic root of 2252656032 is about 1310.8861071662.

The spelling of 2252656032 in words is "two billion, two hundred fifty-two million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 121 132 159 176 212 242 264 318 352 363 424 484 528 583 636 726 848 968 1056 1166 1272 1452 1696 1749 1936 2332 2544 2904 3498 3659 3872 4664 5088 5808 6413 6996 7318 9328 10977 11616 12826 13992 14636 18656 19239 21954 25652 27984 29272 38478 40249 43908 51304 55968 58544 76956 80498 87816 102608 117088 120747 153912 160996 175632 193927 205216 241494 307824 321992 351264 387854 442739 482988 581781 615648 643984 775708 885478 965976 1163562 1287968 1328217 1551416 1770956 1931952 2133197 2327124 2656434 3102832 3541912 3863904 4266394 4654248 5312868 6205664 6399591 7083824 8532788 9308496 10625736 12799182 14167648 17065576 18616992 21251472 23465167 25598364 34131152 42502944 46930334 51196728 68262304 70395501 93860668 102393456 140791002 187721336 204786912 281582004 375442672 563164008 750885344 1126328016 2252656032