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9230716116 = 223219312291901
BaseRepresentation
bin10001001100011000…
…11000110011010100
3212211022012222000200
420212030120303110
5122401030403431
64123542140500
7444513535536
oct104614306324
925738188020
109230716116
113a07553706
121957421730
13b415004cb
14637d11856
153905a1ee6
hex226318cd4

9230716116 has 144 divisors (see below), whose sum is σ = 25477670400. Its totient is φ = 2807136000.

The previous prime is 9230716073. The next prime is 9230716123. The reversal of 9230716116 is 6116170329.

9230716116 is a `hidden beast` number, since 9 + 2 + 30 + 7 + 1 + 611 + 6 = 666.

It is a super-2 number, since 2×92307161162 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4854766 + ... + 4856666.

Almost surely, 29230716116 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 9230716116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738835200).

9230716116 is an abundant number, since it is smaller than the sum of its proper divisors (16246954284).

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

9230716116 is a wasteful number, since it uses less digits than its factorization.

9230716116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9230716116 is about 96076.6158646317. The cubic root of 9230716116 is about 2097.7084690866.

The spelling of 9230716116 in words is "nine billion, two hundred thirty million, seven hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 229 279 342 372 458 558 589 684 687 916 1116 1178 1374 1767 1901 2061 2356 2748 3534 3802 4122 4351 5301 5703 7068 7099 7604 8244 8702 10602 11406 13053 14198 17109 17404 21204 21297 22812 26106 28396 34218 36119 39159 42594 52212 58931 63891 68436 72238 78318 85188 108357 117862 127782 134881 144476 156636 176793 216714 235724 255564 269762 325071 353586 404643 433428 435329 530379 539524 650142 707172 809286 870658 1060758 1119689 1213929 1300284 1305987 1618572 1741316 2121516 2239378 2427858 2611974 3359067 3917961 4478756 4855716 5223948 6718134 7835922 8271251 10077201 13436268 13495199 15671844 16542502 20154402 24813753 26990398 33085004 40308804 40485597 49627506 53980796 74441259 80971194 99255012 121456791 148882518 161942388 242913582 256408781 297765036 485827164 512817562 769226343 1025635124 1538452686 2307679029 3076905372 4615358058 9230716116