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2149993692 = 223471186179
BaseRepresentation
bin1000000000100110…
…0100110011011100
312112211120222220000
42000021210303130
513400344244232
6553201454300
7104164434120
oct20011446334
95484528800
102149993692
11a036850a0
12500041390
13283573422
14165781580
15c8b4027c
hex80264cdc

2149993692 has 120 divisors (see below), whose sum is σ = 7007468160. Its totient is φ = 558433440.

The previous prime is 2149993691. The next prime is 2149993721. The reversal of 2149993692 is 2963999412.

2149993692 is a `hidden beast` number, since 2 + 1 + 499 + 93 + 69 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149993691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18142 + ... + 68037.

It is an arithmetic number, because the mean of its divisors is an integer number (58395568).

Almost surely, 22149993692 is an apocalyptic number.

2149993692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2149993692 is an abundant number, since it is smaller than the sum of its proper divisors (4857474468).

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

2149993692 is a wasteful number, since it uses less digits than its factorization.

2149993692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86213 (or 86202 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 2149993692 is about 46368.0244565153. The cubic root of 2149993692 is about 1290.6616184245.

The spelling of 2149993692 in words is "two billion, one hundred forty-nine million, nine hundred ninety-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 86179 172358 258537 344716 517074 603253 775611 947969 1034148 1206506 1551222 1809759 1895938 2326833 2413012 2843907 3102444 3619518 3791876 4653666 5429277 5687814 6635783 6980499 7239036 8531721 9307332 10858554 11375628 13271566 13960998 16287831 17063442 19907349 21717108 25595163 26543132 27921996 32575662 34126884 39814698 48863493 51190326 59722047 65151324 76785489 79629396 97726986 102380652 119444094 153570978 179166141 195453972 238888188 307141956 358332282 537498423 716664564 1074996846 2149993692