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725223720 = 2335133971171
BaseRepresentation
bin101011001110100…
…000100100101000
31212112122011220210
4223032200210220
52441124124340
6155544021120
723654204604
oct5316404450
91775564823
10725223720
11342408351
12182a617a0
13b7331380
146c462504
1543a06180
hex2b3a0928

725223720 has 128 divisors (see below), whose sum is σ = 2350938240. Its totient is φ = 177914880.

The previous prime is 725223679. The next prime is 725223803. The reversal of 725223720 is 27322527.

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

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, 618735 + ... + 619905.

It is an arithmetic number, because the mean of its divisors is an integer number (18366705).

Almost surely, 2725223720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725223720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175469120).

725223720 is an abundant number, since it is smaller than the sum of its proper divisors (1625714520).

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

725223720 is a wasteful number, since it uses less digits than its factorization.

725223720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 725223720 is about 26929.9780913390. The cubic root of 725223720 is about 898.4432842345.

The spelling of 725223720 in words is "seven hundred twenty-five million, two hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 397 520 780 794 1171 1191 1560 1588 1985 2342 2382 3176 3513 3970 4684 4764 5161 5855 5955 7026 7940 9368 9528 10322 11710 11910 14052 15223 15483 15880 17565 20644 23420 23820 25805 28104 30446 30966 35130 41288 45669 46840 47640 51610 60892 61932 70260 76115 77415 91338 103220 121784 123864 140520 152230 154830 182676 206440 228345 304460 309660 365352 456690 464887 608920 619320 913380 929774 1394661 1826760 1859548 2324435 2789322 3719096 4648870 5578644 6043531 6973305 9297740 11157288 12087062 13946610 18130593 18595480 24174124 27893220 30217655 36261186 48348248 55786440 60435310 72522372 90652965 120870620 145044744 181305930 241741240 362611860 725223720