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22074200 = 23521937157
BaseRepresentation
bin101010000110…
…1001101011000
31112112111002222
41110031031120
521122333300
62105043212
7355425161
oct124151530
945474088
1022074200
1111507745
127486508
13475b575
142d08768
151e10785
hex150d358

22074200 has 96 divisors (see below), whose sum is σ = 55837200. Its totient is φ = 8087040.

The previous prime is 22074197. The next prime is 22074223. The reversal of 22074200 is 247022.

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 23 ways as a sum of consecutive naturals, for example, 140522 + ... + 140678.

Almost surely, 222074200 is an apocalyptic number.

22074200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27918600).

22074200 is an abundant number, since it is smaller than the sum of its proper divisors (33763000).

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

22074200 is a wasteful number, since it uses less digits than its factorization.

22074200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 22074200 is about 4698.3188482690. The cubic root of 22074200 is about 280.5185967210.

The spelling of 22074200 in words is "twenty-two million, seventy-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 37 38 40 50 74 76 95 100 148 152 157 185 190 200 296 314 370 380 475 628 703 740 760 785 925 950 1256 1406 1480 1570 1850 1900 2812 2983 3140 3515 3700 3800 3925 5624 5809 5966 6280 7030 7400 7850 11618 11932 14060 14915 15700 17575 23236 23864 28120 29045 29830 31400 35150 46472 58090 59660 70300 74575 110371 116180 119320 140600 145225 149150 220742 232360 290450 298300 441484 551855 580900 596600 882968 1103710 1161800 2207420 2759275 4414840 5518550 11037100 22074200