Search a number
-
+
152216462200 = 23521182783663
BaseRepresentation
bin1000110111000011001…
…1101110001101111000
3112112220020010110102011
42031300303232031320
54443214403242300
6153532143015304
713666031403115
oct2156063561570
9475806113364
10152216462200
1159611251aa0
1225600b9a534
131147a825b5a
14751dcb590c
153e5d49deba
hex2370cee378

152216462200 has 96 divisors (see below), whose sum is σ = 386547759360. Its totient is φ = 55283849600.

The previous prime is 152216462161. The next prime is 152216462227. The reversal of 152216462200 is 2264612251.

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, 1777569 + ... + 1861231.

It is an arithmetic number, because the mean of its divisors is an integer number (4026539160).

Almost surely, 2152216462200 is an apocalyptic number.

152216462200 is a gapful number since it is divisible by the number (10) 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 152216462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193273879680).

152216462200 is an abundant number, since it is smaller than the sum of its proper divisors (234331297160).

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

152216462200 is a wasteful number, since it uses less digits than its factorization.

152216462200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84517 (or 84508 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

It can be divided in two parts, 152216 and 462200, that added together give a palindrome (614416).

The spelling of 152216462200 in words is "one hundred fifty-two billion, two hundred sixteen million, four hundred sixty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 827 1100 1654 2200 3308 4135 6616 8270 9097 16540 18194 20675 33080 36388 41350 45485 72776 82700 83663 90970 165400 167326 181940 227425 334652 363880 418315 454850 669304 836630 909700 920293 1673260 1819400 1840586 2091575 3346520 3681172 4183150 4601465 7362344 8366300 9202930 16732600 18405860 23007325 36811720 46014650 69189301 92029300 138378602 184058600 276757204 345946505 553514408 691893010 761082311 1383786020 1522164622 1729732525 2767572040 3044329244 3459465050 3805411555 6088658488 6918930100 7610823110 13837860200 15221646220 19027057775 30443292440 38054115550 76108231100 152216462200