Search a number
-
+
99228480 = 2635137951
BaseRepresentation
bin1011110101000…
…01101101000000
320220201022212220
411322201231000
5200400302410
613502451040
72313266601
oct572415500
9226638786
1099228480
115101490a
1229293a80
13177335a0
14d26dda8
158aa1070
hex5ea1b40

99228480 has 112 divisors (see below), whose sum is σ = 339327744. Its totient is φ = 24422400.

The previous prime is 99228461. The next prime is 99228491. The reversal of 99228480 is 8482299.

It is a super-2 number, since 2×992284802 = 19692582486220800, which contains 22 as substring.

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, 8505 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (3029712).

Almost surely, 299228480 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 99228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169663872).

99228480 is an abundant number, since it is smaller than the sum of its proper divisors (240099264).

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

99228480 is a wasteful number, since it uses less digits than its factorization.

99228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 99228480 is about 9961.3493061934. The cubic root of 99228480 is about 462.9621074031.

The spelling of 99228480 in words is "ninety-nine million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 7951 12480 15902 23853 31804 39755 47706 63608 79510 95412 103363 119265 127216 159020 190824 206726 238530 254432 310089 318040 381648 413452 477060 508864 516815 620178 636080 763296 826904 954120 1033630 1240356 1272160 1526592 1550445 1653808 1908240 2067260 2480712 2544320 3100890 3307616 3816480 4134520 4961424 6201780 6615232 7632960 8269040 9922848 12403560 16538080 19845696 24807120 33076160 49614240 99228480