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22734798372 = 223211136536763
BaseRepresentation
bin10101001011000110…
…010111111000100100
32011200102112102100100
4111023012113320210
5333030102021442
614235541344100
71433250411666
oct251306277044
964612472310
1022734798372
119707223570
1244a5a08030
1321b4156420
1411595b6536
158d0dc684c
hex54b197e24

22734798372 has 144 divisors (see below), whose sum is σ = 67628852928. Its totient is φ = 6348706560.

The previous prime is 22734798371. The next prime is 22734798379. The reversal of 22734798372 is 27389743722.

It is a happy number.

22734798372 is a `hidden beast` number, since 2 + 27 + 3 + 479 + 83 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (22734798371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3358263 + ... + 3365025.

It is an arithmetic number, because the mean of its divisors is an integer number (469644812).

Almost surely, 222734798372 is an apocalyptic number.

22734798372 is a gapful number since it is divisible by the number (22) 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 22734798372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814426464).

22734798372 is an abundant number, since it is smaller than the sum of its proper divisors (44894054556).

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

22734798372 is a wasteful number, since it uses less digits than its factorization.

22734798372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7445 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 22734798372 in words is "twenty-two billion, seven hundred thirty-four million, seven hundred ninety-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 653 858 1287 1306 1716 1959 2574 2612 3918 5148 5877 6763 7183 7836 8489 11754 13526 14366 16978 20289 21549 23508 25467 27052 28732 33956 40578 43098 50934 60867 64647 74393 76401 81156 86196 87919 93379 101868 121734 129294 148786 152802 175838 186758 223179 243468 258588 263757 280137 297572 305604 351676 373516 446358 527514 560274 669537 791271 840411 892716 967109 1055028 1120548 1339074 1582542 1680822 1934218 2678148 2901327 3165084 3361644 3868436 4416239 5802654 8703981 8832478 11605308 13248717 17407962 17664956 26497434 34815924 39746151 48578629 52994868 57411107 79492302 97157258 114822214 145735887 158984604 172233321 194314516 229644428 291471774 344466642 437207661 516699963 582943548 631522177 688933284 874415322 1033399926 1263044354 1748830644 1894566531 2066799852 2526088708 3789133062 5683699593 7578266124 11367399186 22734798372