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22945950 = 2335223739
BaseRepresentation
bin101011110001…
…0000010011110
31121011202221000
41113202002132
521333232300
62135451130
7366015546
oct127420236
947152830
1022945950
1111a526a5
127826aa6
1349a52b1
143094326
152033c00
hex15e209e

22945950 has 96 divisors (see below), whose sum is σ = 66067200. Its totient is φ = 5844960.

The previous prime is 22945933. The next prime is 22945987. The reversal of 22945950 is 5954922.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30681 + ... + 31419.

It is an arithmetic number, because the mean of its divisors is an integer number (688200).

Almost surely, 222945950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22945950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033600).

22945950 is an abundant number, since it is smaller than the sum of its proper divisors (43121250).

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

22945950 is a wasteful number, since it uses less digits than its factorization.

22945950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 22945950 is about 4790.1931067547. The cubic root of 22945950 is about 284.1637536740.

The spelling of 22945950 in words is "twenty-two million, nine hundred forty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 739 1035 1150 1242 1350 1478 1725 2070 2217 3105 3450 3695 4434 5175 6210 6651 7390 10350 11085 13302 15525 16997 18475 19953 22170 31050 33255 33994 36950 39906 50991 55425 66510 84985 99765 101982 110850 152973 166275 169970 199530 254955 305946 332550 424925 458919 498825 509910 764865 849850 917838 997650 1274775 1529730 2294595 2549550 3824325 4589190 7648650 11472975 22945950