Search a number
-
+
22430521551240 = 23325115664273119
BaseRepresentation
bin1010001100110100000110…
…10001001110100110001000
32221102100002121120011210100
411012122003101032212020
510420000202004114430
6115412234522045400
74503360143233245
oct506320321164610
987370077504710
1022430521551240
117168804720430
122623228349860
13c6925c60ab1a
145779006c05cc
1528d709059960
hex14668344e988

22430521551240 has 96 divisors (see below), whose sum is σ = 79526394604800. Its totient is φ = 5437702193280.

The previous prime is 22430521551239. The next prime is 22430521551253. The reversal of 22430521551240 is 4215512503422.

22430521551240 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 0 + 521 + 5 + 5 + 124 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22430521551195 and 22430521551204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2832132600 + ... + 2832140519.

It is an arithmetic number, because the mean of its divisors is an integer number (828399943800).

Almost surely, 222430521551240 is an apocalyptic number.

22430521551240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22430521551240 is an abundant number, since it is smaller than the sum of its proper divisors (57095873053560).

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

22430521551240 is a wasteful number, since it uses less digits than its factorization.

22430521551240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664273147 (or 5664273140 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 22430521551240 in words is "twenty-two trillion, four hundred thirty billion, five hundred twenty-one million, five hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5664273119 11328546238 16992819357 22657092476 28321365595 33985638714 45314184952 50978458071 56642731190 62307004309 67971277428 84964096785 101956916142 113285462380 124614008618 135942554856 169928193570 186921012927 203913832284 226570924760 249228017236 254892290355 311535021545 339856387140 373842025854 407827664568 498456034472 509784580710 560763038781 623070043090 679712774280 747684051708 934605064635 1019569161420 1121526077562 1246140086180 1495368103416 1869210129270 2039138322840 2243052155124 2492280172360 2803815193905 3738420258540 4486104310248 5607630387810 7476840517080 11215260775620 22430521551240