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2930094216 = 2333712715259
BaseRepresentation
bin1010111010100101…
…1011000010001000
321120012111012122000
42232221123002020
522000101003331
61202430031000
7132416250510
oct25651330210
97505435560
102930094216
111273a64175
12699348460
1337907987a
141db20a840
151223860e6
hexaea5b088

2930094216 has 128 divisors (see below), whose sum is σ = 9375744000. Its totient is φ = 830523456.

The previous prime is 2930094203. The next prime is 2930094227. The reversal of 2930094216 is 6124900392.

It is a super-2 number, since 2×29300942162 = 17170904229273309312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184395 + ... + 199653.

It is an arithmetic number, because the mean of its divisors is an integer number (73248000).

Almost surely, 22930094216 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 2930094216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687872000).

2930094216 is an abundant number, since it is smaller than the sum of its proper divisors (6445649784).

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

2930094216 is a wasteful number, since it uses less digits than its factorization.

2930094216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15408 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2930094216 is about 54130.3446876149. The cubic root of 2930094216 is about 1430.9590150395.

The spelling of 2930094216 in words is "two billion, nine hundred thirty million, ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1778 2286 2667 3048 3429 3556 4572 5334 6858 7112 8001 9144 10668 13716 15259 16002 21336 24003 27432 30518 32004 45777 48006 61036 64008 91554 96012 106813 122072 137331 183108 192024 213626 274662 320439 366216 411993 427252 549324 640878 823986 854504 961317 1098648 1281756 1647972 1922634 1937893 2563512 2883951 3295944 3845268 3875786 5767902 5813679 7690536 7751572 11535804 11627358 13565251 15503144 17441037 23071608 23254716 27130502 34882074 40695753 46509432 52323111 54261004 69764148 81391506 104646222 108522008 122087259 139528296 162783012 209292444 244174518 325566024 366261777 418584888 488349036 732523554 976698072 1465047108 2930094216