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2552214504 = 2337231076173
BaseRepresentation
bin1001100000011111…
…1011001111101000
320120212102221010010
42120013323033220
520211331331004
61101130451520
7120150315420
oct23007731750
96525387103
102552214504
11109a727594
125b2893ba0
133189b17c8
141a2d63480
15ee0e1a89
hex981fb3e8

2552214504 has 128 divisors (see below), whose sum is σ = 7681443840. Its totient is φ = 690868992.

The previous prime is 2552214503. The next prime is 2552214517. The reversal of 2552214504 is 4054122552.

It is not an unprimeable number, because it can be changed into a prime (2552214503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410362 + ... + 416534.

It is an arithmetic number, because the mean of its divisors is an integer number (60011280).

Almost surely, 22552214504 is an apocalyptic number.

2552214504 is a gapful number since it is divisible by the number (24) 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 2552214504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840721920).

2552214504 is an abundant number, since it is smaller than the sum of its proper divisors (5129229336).

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

2552214504 is a wasteful number, since it uses less digits than its factorization.

2552214504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2552214504 is about 50519.4467903203. The cubic root of 2552214504 is about 1366.5925771720.

The spelling of 2552214504 in words is "two billion, five hundred fifty-two million, two hundred fourteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 107 138 161 168 184 214 276 321 322 428 483 552 642 644 749 856 966 1284 1288 1498 1932 2247 2461 2568 2996 3864 4494 4922 5992 6173 7383 8988 9844 12346 14766 17227 17976 18519 19688 24692 29532 34454 37038 43211 49384 51681 59064 68908 74076 86422 103362 129633 137816 141979 148152 172844 206724 259266 283958 345688 413448 425937 518532 567916 660511 851874 993853 1037064 1135832 1321022 1703748 1981533 1987706 2642044 2981559 3407496 3963066 3975412 4623577 5284088 5963118 7926132 7950824 9247154 11926236 13870731 15191753 15852264 18494308 23852472 27741462 30383506 36988616 45575259 55482924 60767012 91150518 106342271 110965848 121534024 182301036 212684542 319026813 364602072 425369084 638053626 850738168 1276107252 2552214504