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2255671752 = 233472157271
BaseRepresentation
bin1000011001110010…
…1101000111001000
312211012102222221020
42012130231013020
514104422444002
61011454512440
7106616615325
oct20634550710
95735388836
102255671752
11a582a4634
1252b505720
1329c424519
1417580db4c
15d30672bc
hex8672d1c8

2255671752 has 96 divisors (see below), whose sum is σ = 5819809920. Its totient is φ = 728507520.

The previous prime is 2255671727. The next prime is 2255671757. The reversal of 2255671752 is 2571765522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255671757) 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, 8323377 + ... + 8323647.

It is an arithmetic number, because the mean of its divisors is an integer number (60623020).

Almost surely, 22255671752 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 2255671752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909904960).

2255671752 is an abundant number, since it is smaller than the sum of its proper divisors (3564138168).

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

2255671752 is a wasteful number, since it uses less digits than its factorization.

2255671752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 480 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 2255671752 is about 47493.9127889038. The cubic root of 2255671752 is about 1311.4708247284.

The spelling of 2255671752 in words is "two billion, two hundred fifty-five million, six hundred seventy-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 157 188 271 282 314 376 471 542 564 628 813 942 1084 1128 1256 1626 1884 2168 2209 3252 3768 4418 6504 6627 7379 8836 12737 13254 14758 17672 22137 25474 26508 29516 38211 42547 44274 50948 53016 59032 76422 85094 88548 101896 127641 152844 170188 177096 255282 305688 340376 346813 510564 598639 693626 1021128 1040439 1197278 1387252 1795917 1999709 2080878 2394556 2774504 3591834 3999418 4161756 4789112 5999127 7183668 7998836 8323512 11998254 14367336 15997672 23996508 47993016 93986323 187972646 281958969 375945292 563917938 751890584 1127835876 2255671752