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22949640 = 23325721301
BaseRepresentation
bin101011110001…
…0111100001000
31121011221222200
41113202330020
521333342030
62135520200
7366032400
oct127427410
947157880
1022949640
1111a5544a
127829060
1349a6b8c
143095800
152034d60
hex15e2f08

22949640 has 144 divisors (see below), whose sum is σ = 86830380. Its totient is φ = 5241600.

The previous prime is 22949639. The next prime is 22949651. The reversal of 22949640 is 4694922.

22949640 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 4235364 = 4326^2 + 2058^2 .

It is a super-2 number, since 2×229496402 = 1053371952259200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 22949595 and 22949604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16990 + ... + 18290.

Almost surely, 222949640 is an apocalyptic number.

22949640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22949640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43415190).

22949640 is an abundant number, since it is smaller than the sum of its proper divisors (63880740).

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

22949640 is a wasteful number, since it uses less digits than its factorization.

22949640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22949640 is about 4790.5782531966. The cubic root of 22949640 is about 284.1789852370.

The spelling of 22949640 in words is "twenty-two million, nine hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1301 1470 1764 1960 2205 2520 2602 2940 3528 3903 4410 5204 5880 6505 7806 8820 9107 10408 11709 13010 15612 17640 18214 19515 23418 26020 27321 31224 36428 39030 45535 46836 52040 54642 58545 63749 72856 78060 81963 91070 93672 109284 117090 127498 136605 156120 163926 182140 191247 218568 234180 254996 273210 318745 327852 364280 382494 409815 468360 509992 546420 573741 637490 655704 764988 819630 956235 1092840 1147482 1274980 1529976 1639260 1912470 2294964 2549960 2868705 3278520 3824940 4589928 5737410 7649880 11474820 22949640