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233070040 = 23572336191
BaseRepresentation
bin11011110010001…
…01110111011000
3121020120011222201
431321011313120
5434131220130
635043255544
75530030330
oct1571056730
9536504881
10233070040
1110a61aa75
126607a5b4
1339395788
1422d500c0
15156dcbca
hexde45dd8

233070040 has 64 divisors (see below), whose sum is σ = 625397760. Its totient is φ = 76433280.

The previous prime is 233070037. The next prime is 233070041. The reversal of 233070040 is 40070332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233070041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11656 + ... + 24535.

It is an arithmetic number, because the mean of its divisors is an integer number (9771840).

Almost surely, 2233070040 is an apocalyptic number.

233070040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233070040 is an abundant number, since it is smaller than the sum of its proper divisors (392327720).

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

233070040 is a wasteful number, since it uses less digits than its factorization.

233070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36232 (or 36228 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 233070040 is about 15266.6315865681. The cubic root of 233070040 is about 615.4066009293.

The spelling of 233070040 in words is "two hundred thirty-three million, seventy thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 36191 72382 144764 180955 253337 289528 361910 506674 723820 832393 1013348 1266685 1447640 1664786 2026696 2533370 3329572 4161965 5066740 5826751 6659144 8323930 10133480 11653502 16647860 23307004 29133755 33295720 46614008 58267510 116535020 233070040