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213917990 = 251113227659
BaseRepresentation
bin11001100000000…
…10000100100110
3112220112011022112
430300002010212
5414230333430
633121001022
75205162416
oct1460020446
9486464275
10213917990
11aa829830
125b783172
133541b2c0
14205a6646
1513ba8195
hexcc02126

213917990 has 64 divisors (see below), whose sum is σ = 455051520. Its totient is φ = 71379840.

The previous prime is 213917989. The next prime is 213917993. The reversal of 213917990 is 99719312.

213917990 = T388 + T389 + ... + T1102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213917993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324281 + ... + 324939.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2213917990 is an apocalyptic number.

213917990 is an abundant number, since it is smaller than the sum of its proper divisors (241133530).

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

213917990 is a wasteful number, since it uses less digits than its factorization.

213917990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 30618, while the sum is 41.

The square root of 213917990 is about 14625.9355256339. The cubic root of 213917990 is about 598.0659856419.

The spelling of 213917990 in words is "two hundred thirteen million, nine hundred seventeen thousand, nine hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 227 286 454 659 715 1135 1318 1430 2270 2497 2951 3295 4994 5902 6590 7249 8567 12485 14498 14755 17134 24970 29510 32461 36245 42835 64922 72490 85670 94237 149593 162305 188474 299186 324610 471185 747965 942370 1495930 1645523 1944709 3291046 3889418 8227615 9723545 16455230 19447090 21391799 42783598 106958995 213917990