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73225404 = 223372101137
BaseRepresentation
bin1000101110101…
…01010010111100
312002210020101000
410113111102330
5122221203104
611133250300
71546256100
oct427252274
9162706330
1073225404
113837436a
1220633990
131222a955
149a21900
156666639
hex45d54bc

73225404 has 144 divisors (see below), whose sum is σ = 224652960. Its totient is φ = 20563200.

The previous prime is 73225393. The next prime is 73225417. The reversal of 73225404 is 40452237.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534424 + ... + 534560.

It is an arithmetic number, because the mean of its divisors is an integer number (1560090).

Almost surely, 273225404 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 73225404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112326480).

73225404 is an abundant number, since it is smaller than the sum of its proper divisors (151427556).

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

73225404 is a wasteful number, since it uses less digits than its factorization.

73225404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 73225404 is about 8557.1843500067. The cubic root of 73225404 is about 418.3636328094.

The spelling of 73225404 in words is "seventy-three million, two hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 101 108 126 137 147 189 196 202 252 274 294 303 378 404 411 441 548 588 606 707 756 822 882 909 959 1212 1233 1323 1414 1644 1764 1818 1918 2121 2466 2646 2727 2828 2877 3636 3699 3836 4242 4932 4949 5292 5454 5754 6363 6713 7398 8484 8631 9898 10908 11508 12726 13426 13837 14796 14847 17262 19089 19796 20139 25452 25893 26852 27674 29694 34524 38178 40278 41511 44541 51786 55348 59388 60417 76356 80556 83022 89082 96859 103572 120834 124533 133623 166044 178164 181251 193718 241668 249066 267246 290577 362502 373599 387436 498132 534492 581154 678013 725004 747198 871731 1162308 1356026 1494396 1743462 2034039 2615193 2712052 3486924 4068078 5230386 6102117 8136156 10460772 12204234 18306351 24408468 36612702 73225404