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226372920 = 23357923879
BaseRepresentation
bin11010111111000…
…10110100111000
3120202221221021020
431133202310320
5430422413140
634243542440
75416065234
oct1537426470
9522857236
10226372920
11106866364
126398aa20
1337b8c397
14220c95c4
1514d186d0
hexd7e2d38

226372920 has 64 divisors (see below), whose sum is σ = 687744000. Its totient is φ = 59599488.

The previous prime is 226372907. The next prime is 226372957. The reversal of 226372920 is 29273622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460 + ... + 21419.

It is an arithmetic number, because the mean of its divisors is an integer number (10746000).

Almost surely, 2226372920 is an apocalyptic number.

226372920 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 226372920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343872000).

226372920 is an abundant number, since it is smaller than the sum of its proper divisors (461371080).

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

226372920 is a wasteful number, since it uses less digits than its factorization.

226372920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23972 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 226372920 is about 15045.6944007247. The cubic root of 226372920 is about 609.4547847145.

The spelling of 226372920 in words is "two hundred twenty-six million, three hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 23879 47758 71637 95516 119395 143274 191032 238790 286548 358185 477580 573096 716370 955160 1432740 1886441 2865480 3772882 5659323 7545764 9432205 11318646 15091528 18864410 22637292 28296615 37728820 45274584 56593230 75457640 113186460 226372920