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72222444 = 22327463619
BaseRepresentation
bin1000100111000…
…00011011101100
312000220021120100
410103200123230
5121442104234
611055551100
71534611030
oct423403354
9160807510
1072222444
1137849878
122022b490
1311c69298
1498401c0
156519399
hex44e06ec

72222444 has 72 divisors (see below), whose sum is σ = 209431040. Its totient is φ = 20557152.

The previous prime is 72222433. The next prime is 72222457. The reversal of 72222444 is 44422227.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116367 + ... + 116985.

Almost surely, 272222444 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 72222444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104715520).

72222444 is an abundant number, since it is smaller than the sum of its proper divisors (137208596).

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

72222444 is a wasteful number, since it uses less digits than its factorization.

72222444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1094 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 72222444 is about 8498.3789042381. The cubic root of 72222444 is about 416.4447520882. Note that the first 3 decimals are identical.

The spelling of 72222444 in words is "seventy-two million, two hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 463 619 926 1238 1389 1852 1857 2476 2778 3241 3714 4167 4333 5556 5571 6482 7428 8334 8666 9723 11142 12964 12999 16668 17332 19446 22284 25998 29169 38892 38997 51996 58338 77994 116676 155988 286597 573194 859791 1146388 1719582 2006179 2579373 3439164 4012358 5158746 6018537 8024716 10317492 12037074 18055611 24074148 36111222 72222444