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20219192 = 2371931613
BaseRepresentation
bin100110100100…
…0010100111000
31102001020111222
41031020110320
520134003232
62001211212
7333601040
oct115102470
942036458
1020219192
111045aa84
126930b08
13425c126
142984720
151b95d12
hex1348538

20219192 has 64 divisors (see below), whose sum is σ = 47155200. Its totient is φ = 7931520.

The previous prime is 20219189. The next prime is 20219197. The reversal of 20219192 is 29191202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20219197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32678 + ... + 33290.

It is an arithmetic number, because the mean of its divisors is an integer number (736800).

Almost surely, 220219192 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 20219192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577600).

20219192 is an abundant number, since it is smaller than the sum of its proper divisors (26936008).

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

20219192 is a wasteful number, since it uses less digits than its factorization.

20219192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 20219192 is about 4496.5755859320. The cubic root of 20219192 is about 272.4297919737.

The spelling of 20219192 in words is "twenty million, two hundred nineteen thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 613 868 1064 1178 1226 1736 2356 2452 4123 4291 4712 4904 8246 8582 11647 16492 17164 19003 23294 32984 34328 38006 46588 76012 81529 93176 133021 152024 163058 266042 326116 361057 532084 652232 722114 1064168 1444228 2527399 2888456 5054798 10109596 20219192