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22207968 = 2532292659
BaseRepresentation
bin101010010110…
…1110111100000
31112210021121100
41110231313200
521141123333
62111554400
7356523156
oct124556740
945707540
1022207968
11115991a2
12752ba00
1347a7413
142d413d6
151e3a213
hex152dde0

22207968 has 72 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 7144704.

The previous prime is 22207919. The next prime is 22207973. The reversal of 22207968 is 86970222.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7023 + ... + 9681.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 222207968 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 22207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

22207968 is an abundant number, since it is smaller than the sum of its proper divisors (43148232).

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

22207968 is a wasteful number, since it uses less digits than its factorization.

22207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 22207968 is about 4712.5330768070. The cubic root of 22207968 is about 281.0840965266.

The spelling of 22207968 in words is "twenty-two million, two hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2659 2784 4176 5318 7977 8352 10636 15954 21272 23931 31908 42544 47862 63816 77111 85088 95724 127632 154222 191448 231333 255264 308444 382896 462666 616888 693999 765792 925332 1233776 1387998 1850664 2467552 2775996 3701328 5551992 7402656 11103984 22207968