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74226900 = 223521183271
BaseRepresentation
bin1000110110010…
…01110011010100
312011200010011110
410123021303110
5123000230100
611210535020
71560626646
oct433116324
9164603143
1074226900
1138998850
1220a37470
13124bb757
149c02896
1567b3250
hex46c9cd4

74226900 has 144 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 17712000.

The previous prime is 74226881. The next prime is 74226917. The reversal of 74226900 is 962247.

It is a happy number.

It is a super-2 number, since 2×742269002 = 11019265367220000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273765 + ... + 274035.

It is an arithmetic number, because the mean of its divisors is an integer number (1652672).

Almost surely, 274226900 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 74226900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

74226900 is an abundant number, since it is smaller than the sum of its proper divisors (163757868).

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

74226900 is a wasteful number, since it uses less digits than its factorization.

74226900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74226900 is about 8615.5034675868. The cubic root of 74226900 is about 420.2623077989.

The spelling of 74226900 in words is "seventy-four million, two hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 83 100 110 132 150 165 166 220 249 271 275 300 330 332 415 498 542 550 660 813 825 830 913 996 1084 1100 1245 1355 1626 1650 1660 1826 2075 2490 2710 2739 2981 3252 3300 3652 4065 4150 4565 4980 5420 5478 5962 6225 6775 8130 8300 8943 9130 10956 11924 12450 13550 13695 14905 16260 17886 18260 20325 22493 22825 24900 27100 27390 29810 35772 40650 44715 44986 45650 54780 59620 67479 68475 74525 81300 89430 89972 91300 112465 134958 136950 149050 178860 223575 224930 247423 269916 273900 298100 337395 447150 449860 494846 562325 674790 742269 894300 989692 1124650 1237115 1349580 1484538 1686975 2249300 2474230 2969076 3373950 3711345 4948460 6185575 6747900 7422690 12371150 14845380 18556725 24742300 37113450 74226900