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220228992 = 2732533607
BaseRepresentation
bin11010010000001…
…10110110000000
3120100101210101100
431020012312000
5422334311432
633504134400
75312626014
oct1510066600
9510353340
10220228992
1110334a335
1261907400
133681aa19
142136a544
151450307c
hexd206d80

220228992 has 96 divisors (see below), whose sum is σ = 645868080. Its totient is φ = 72004608.

The previous prime is 220228969. The next prime is 220229027. The reversal of 220228992 is 299822022.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59253 + ... + 62859.

Almost surely, 2220228992 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 220228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322934040).

220228992 is an abundant number, since it is smaller than the sum of its proper divisors (425639088).

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

220228992 is a wasteful number, since it uses less digits than its factorization.

220228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 220228992 is about 14840.1142852742. The cubic root of 220228992 is about 603.8904527728.

The spelling of 220228992 in words is "two hundred twenty million, two hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3607 3816 5088 6784 7214 7632 10176 10821 14428 15264 20352 21642 28856 30528 32463 43284 57712 61056 64926 86568 115424 129852 173136 191171 230848 259704 346272 382342 461696 519408 573513 692544 764684 1038816 1147026 1385088 1529368 1720539 2077632 2294052 3058736 3441078 4155264 4588104 6117472 6882156 9176208 12234944 13764312 18352416 24469888 27528624 36704832 55057248 73409664 110114496 220228992