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90220992 = 2634173157
BaseRepresentation
bin1010110000010…
…10100111000000
320021202200221020
411120022213000
5141044032432
612541425440
72143602651
oct530124700
9207680836
1090220992
1146a22404
122626b280
13158cb704
14bda7528
157dc222c
hex560a9c0

90220992 has 112 divisors (see below), whose sum is σ = 249460512. Its totient is φ = 28753920.

The previous prime is 90220981. The next prime is 90221003. The reversal of 90220992 is 29902209.

It is an interprime number because it is at equal distance from previous prime (90220981) and next prime (90221003).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574578 + ... + 574734.

It is an arithmetic number, because the mean of its divisors is an integer number (2227326).

Almost surely, 290220992 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 90220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124730256).

90220992 is an abundant number, since it is smaller than the sum of its proper divisors (159239520).

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

90220992 is a wasteful number, since it uses less digits than its factorization.

90220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 90220992 is about 9498.4731404579. The cubic root of 90220992 is about 448.5069728437.

The spelling of 90220992 in words is "ninety million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 73 82 96 123 146 157 164 192 219 246 292 314 328 438 471 492 584 628 656 876 942 984 1168 1256 1312 1752 1884 1968 2336 2512 2624 2993 3504 3768 3936 4672 5024 5986 6437 7008 7536 7872 8979 10048 11461 11972 12874 14016 15072 17958 19311 22922 23944 25748 30144 34383 35916 38622 45844 47888 51496 68766 71832 77244 91688 95776 102992 137532 143664 154488 183376 191552 205984 275064 287328 308976 366752 411968 469901 550128 574656 617952 733504 939802 1100256 1235904 1409703 1879604 2200512 2819406 3759208 5638812 7518416 11277624 15036832 22555248 30073664 45110496 90220992