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73222680 = 23352953397
BaseRepresentation
bin1000101110101…
…00101000011000
312002210002122010
410113110220120
5122221111210
611133225520
71546245126
oct427245030
9162702563
1073222680
1138372313
12206322a0
131222963b
149a20916
156665920
hex45d4a18

73222680 has 128 divisors (see below), whose sum is σ = 232113600. Its totient is φ = 18450432.

The previous prime is 73222673. The next prime is 73222691. The reversal of 73222680 is 8622237.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184242 + ... + 184638.

Almost surely, 273222680 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 73222680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116056800).

73222680 is an abundant number, since it is smaller than the sum of its proper divisors (158890920).

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

73222680 is a wasteful number, since it uses less digits than its factorization.

73222680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 73222680 is about 8557.0251840228. The cubic root of 73222680 is about 418.3584450075.

The spelling of 73222680 in words is "seventy-three million, two hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 53 58 60 87 106 116 120 145 159 174 212 232 265 290 318 348 397 424 435 530 580 636 696 794 795 870 1060 1160 1191 1272 1537 1588 1590 1740 1985 2120 2382 3074 3176 3180 3480 3970 4611 4764 5955 6148 6360 7685 7940 9222 9528 11513 11910 12296 15370 15880 18444 21041 23026 23055 23820 30740 34539 36888 42082 46052 46110 47640 57565 61480 63123 69078 84164 92104 92220 105205 115130 126246 138156 168328 172695 184440 210410 230260 252492 276312 315615 345390 420820 460520 504984 610189 631230 690780 841640 1220378 1262460 1381560 1830567 2440756 2524920 3050945 3661134 4881512 6101890 7322268 9152835 12203780 14644536 18305670 24407560 36611340 73222680