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213700788 = 22337674219
BaseRepresentation
bin11001011110011…
…01000010110100
3112220010010101000
430233031002310
5414201411123
633112203300
75203266240
oct1457150264
9486103330
10213700788
11aa6a0624
125b699530
1335373492
142054b420
1513b63b43
hexcbcd0b4

213700788 has 96 divisors (see below), whose sum is σ = 642790400. Its totient is φ = 60131808.

The previous prime is 213700783. The next prime is 213700801. The reversal of 213700788 is 887007312.

213700788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213700783) 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, 48543 + ... + 52761.

Almost surely, 2213700788 is an apocalyptic number.

213700788 is a gapful number since it is divisible by the number (28) 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 213700788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321395200).

213700788 is an abundant number, since it is smaller than the sum of its proper divisors (429089612).

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

213700788 is a wasteful number, since it uses less digits than its factorization.

213700788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 213700788 is about 14618.5084054427. The cubic root of 213700788 is about 597.8635013189.

The spelling of 213700788 in words is "two hundred thirteen million, seven hundred thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 84 108 126 134 189 201 252 268 378 402 469 603 756 804 938 1206 1407 1809 1876 2412 2814 3618 4219 4221 5628 7236 8438 8442 12657 12663 16876 16884 25314 25326 29533 37971 50628 50652 59066 75942 88599 113913 118132 151884 177198 227826 265797 282673 354396 455652 531594 565346 797391 848019 1063188 1130692 1594782 1696038 1978711 2544057 3189564 3392076 3957422 5088114 5936133 7632171 7914844 10176228 11872266 15264342 17808399 23744532 30528684 35616798 53425197 71233596 106850394 213700788