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220719996 = 223277911087
BaseRepresentation
bin11010010011111…
…10101101111100
3120101022201220200
431021332231330
5423001014441
633522443500
75320042350
oct1511765574
9511281820
10220719996
11103655222
1261b03590
1336960363
1421457460
151459d7b6
hexd27eb7c

220719996 has 72 divisors (see below), whose sum is σ = 645765120. Its totient is φ = 62258976.

The previous prime is 220719977. The next prime is 220719997. The reversal of 220719996 is 699917022.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220719997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14365 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (8968960).

Almost surely, 2220719996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220719996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

220719996 is an abundant number, since it is smaller than the sum of its proper divisors (425045124).

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

220719996 is a wasteful number, since it uses less digits than its factorization.

220719996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11183 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 220719996 is about 14856.6482087986. The cubic root of 220719996 is about 604.3389140734.

The spelling of 220719996 in words is "two hundred twenty million, seven hundred nineteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 11087 19908 22174 33261 44348 66522 77609 99783 133044 155218 199566 232827 310436 399132 465654 698481 875873 931308 1396962 1751746 2627619 2793924 3503492 5255238 6131111 7882857 10510476 12262222 15765714 18393333 24524444 31531428 36786666 55179999 73573332 110359998 220719996