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99227680 = 2553491777
BaseRepresentation
bin1011110101000…
…01100000100000
320220201021210021
411322201200200
5200400241210
613502443224
72313264346
oct572414040
9226637707
1099227680
1151014252
1229293514
1317733106
14d26d996
158aa0bda
hex5ea1820

99227680 has 48 divisors (see below), whose sum is σ = 235229400. Its totient is φ = 39555072.

The previous prime is 99227677. The next prime is 99227699. The reversal of 99227680 is 8672299.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88284816 + 10942864 = 9396^2 + 3308^2 .

It is a super-2 number, since 2×992276802 = 19692264956364800, which contains 22 as substring.

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, 54952 + ... + 56728.

Almost surely, 299227680 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 99227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117614700).

99227680 is an abundant number, since it is smaller than the sum of its proper divisors (136001720).

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

99227680 is a wasteful number, since it uses less digits than its factorization.

99227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 99227680 is about 9961.3091509098. The cubic root of 99227680 is about 462.9608632351.

The spelling of 99227680 in words is "ninety-nine million, two hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 698 1396 1745 1777 2792 3490 3554 5584 6980 7108 8885 11168 13960 14216 17770 27920 28432 35540 55840 56864 71080 142160 284320 620173 1240346 2480692 3100865 4961384 6201730 9922768 12403460 19845536 24806920 49613840 99227680