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90223872 = 283294051
BaseRepresentation
bin1010110000010…
…11010100000000
320021202211212220
411120023110000
5141044130442
612541451040
72143614234
oct530132400
9207684786
1090223872
1146a24592
1226270a80
13158ccb0b
14bda85c4
157dc2eec
hex560b500

90223872 has 72 divisors (see below), whose sum is σ = 248468640. Its totient is φ = 29030400.

The previous prime is 90223853. The next prime is 90223883. The reversal of 90223872 is 27832209.

It is a super-3 number, since 3×902238723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20247 + ... + 24297.

Almost surely, 290223872 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 90223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124234320).

90223872 is an abundant number, since it is smaller than the sum of its proper divisors (158244768).

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

90223872 is a wasteful number, since it uses less digits than its factorization.

90223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 90223872 is about 9498.6247425614. The cubic root of 90223872 is about 448.5117451489.

The spelling of 90223872 in words is "ninety million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 4051 5568 7424 8102 11136 12153 16204 22272 24306 32408 48612 64816 97224 117479 129632 194448 234958 259264 352437 388896 469916 518528 704874 777792 939832 1037056 1409748 1555584 1879664 2819496 3111168 3759328 5638992 7518656 11277984 15037312 22555968 30074624 45111936 90223872