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23014005200 = 2452411817753
BaseRepresentation
bin10101011011101111…
…011101100111010000
32012101212220121002222
4111123233131213100
5334113041131300
614323354000212
71443210550034
oct253357354720
965355817088
1023014005200
11983a89580a
124563416068
132229c53a74
1411846d61c4
158ea679785
hex55bbdd9d0

23014005200 has 120 divisors (see below), whose sum is σ = 56959984536. Its totient is φ = 8930304000.

The previous prime is 23014005173. The next prime is 23014005211. The reversal of 23014005200 is 250041032.

It can be written as a sum of positive squares in 12 ways, for example, as 11800042384 + 11213962816 = 108628^2 + 105896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964524 + ... + 2972276.

Almost surely, 223014005200 is an apocalyptic number.

23014005200 is a gapful number since it is divisible by the number (20) 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 23014005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28479992268).

23014005200 is an abundant number, since it is smaller than the sum of its proper divisors (33945979336).

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

23014005200 is a wasteful number, since it uses less digits than its factorization.

23014005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 23014005200 its reverse (250041032), we get a palindrome (23264046232).

The spelling of 23014005200 in words is "twenty-three billion, fourteen million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 181 200 205 328 362 400 410 656 724 820 905 1025 1448 1640 1810 2050 2896 3280 3620 4100 4525 7240 7421 7753 8200 9050 14480 14842 15506 16400 18100 29684 31012 36200 37105 38765 59368 62024 72400 74210 77530 118736 124048 148420 155060 185525 193825 296840 310120 317873 371050 387650 593680 620240 635746 742100 775300 1271492 1403293 1484200 1550600 1589365 2542984 2806586 2968400 3101200 3178730 5085968 5613172 6357460 7016465 7946825 11226344 12714920 14032930 15893650 22452688 25429840 28065860 31787300 35082325 56131720 57535013 63574600 70164650 112263440 115070026 127149200 140329300 230140052 280658600 287675065 460280104 561317200 575350130 920560208 1150700260 1438375325 2301400520 2876750650 4602801040 5753501300 11507002600 23014005200