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72222304 = 2571129311
BaseRepresentation
bin1000100111000…
…00011001100000
312000220021101011
410103200121200
5121442103204
611055550304
71534610440
oct423403140
9160807334
1072222304
1137849760
122022b394
1311c691bb
149840120
156519304
hex44e0660

72222304 has 48 divisors (see below), whose sum is σ = 177278976. Its totient is φ = 28137600.

The previous prime is 72222301. The next prime is 72222347. The reversal of 72222304 is 40322227.

It is a super-2 number, since 2×722223042 = 10432122390136832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72222301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12192 + ... + 17119.

It is an arithmetic number, because the mean of its divisors is an integer number (3693312).

Almost surely, 272222304 is an apocalyptic number.

It is an amenable number.

72222304 is an abundant number, since it is smaller than the sum of its proper divisors (105056672).

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

72222304 is a wasteful number, since it uses less digits than its factorization.

72222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29339 (or 29331 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 72222304 is about 8498.3706673691. The cubic root of 72222304 is about 416.4444830014. Note that the first 4 decimals are identical.

The spelling of 72222304 in words is "seventy-two million, two hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 29311 58622 117244 205177 234488 322421 410354 468976 644842 820708 937952 1289684 1641416 2256947 2579368 3282832 4513894 5158736 6565664 9027788 10317472 18055576 36111152 72222304