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2190193216 = 26232951307
BaseRepresentation
bin1000001010001011…
…1011001001000000
312122122020100021021
42002202323021000
513441142140331
61001155235224
7105163222651
oct20242731100
95578210237
102190193216
11a24341642
125115a8b14
1328b9a9a23
1416ac47528
15cc431211
hex828bb240

2190193216 has 56 divisors (see below), whose sum is σ = 4691603520. Its totient is φ = 1011343872.

The previous prime is 2190193211. The next prime is 2190193219. The reversal of 2190193216 is 6123910912.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2190193211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17035 + ... + 68341.

Almost surely, 22190193216 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 2190193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345801760).

2190193216 is an abundant number, since it is smaller than the sum of its proper divisors (2501410304).

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

2190193216 is a wasteful number, since it uses less digits than its factorization.

2190193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51371 (or 51361 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 2190193216 is about 46799.5001682710. The cubic root of 2190193216 is about 1298.6560501465.

The spelling of 2190193216 in words is "two billion, one hundred ninety million, one hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 184 232 368 464 667 736 928 1334 1472 1856 2668 5336 10672 21344 42688 51307 102614 205228 410456 820912 1180061 1487903 1641824 2360122 2975806 3283648 4720244 5951612 9440488 11903224 18880976 23806448 34221769 37761952 47612896 68443538 75523904 95225792 136887076 273774152 547548304 1095096608 2190193216