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22946340 = 22354779103
BaseRepresentation
bin101011110001…
…0001000100100
31121011210110110
41113202020210
521333240330
62135453020
7366016644
oct127421044
947153413
1022946340
1111a52a1a
127827170
1349a5521
143094524
152033db0
hex15e2224

22946340 has 96 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 5855616.

The previous prime is 22946323. The next prime is 22946359. The reversal of 22946340 is 4364922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22946298 and 22946307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222729 + ... + 222831.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 222946340 is an apocalyptic number.

22946340 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 22946340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

22946340 is an abundant number, since it is smaller than the sum of its proper divisors (44146140).

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

22946340 is a wasteful number, since it uses less digits than its factorization.

22946340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 22946340 is about 4790.2338147527. The cubic root of 22946340 is about 284.1653635912.

It can be divided in two parts, 229463 and 40, that added together give a triangular number (229503 = T677).

The spelling of 22946340 in words is "twenty-two million, nine hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 79 94 103 141 158 188 206 235 237 282 309 316 395 412 470 474 515 564 618 705 790 940 948 1030 1185 1236 1410 1545 1580 2060 2370 2820 3090 3713 4740 4841 6180 7426 8137 9682 11139 14523 14852 16274 18565 19364 22278 24205 24411 29046 32548 37130 40685 44556 48410 48822 55695 58092 72615 74260 81370 96820 97644 111390 122055 145230 162740 222780 244110 290460 382439 488220 764878 1147317 1529756 1912195 2294634 3824390 4589268 5736585 7648780 11473170 22946340