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22231500240 = 2435194875329
BaseRepresentation
bin10100101101000110…
…011100010111010000
32010101100111020002210
4110231012130113100
5331012231001430
614114002112120
71414626430335
oct245506342720
963340436083
1022231500240
1194791141a4
12438534b640
132133ab8091
14110c80298c
158a1b0b2b0
hex52d19c5d0

22231500240 has 80 divisors (see below), whose sum is σ = 72544910400. Its totient is φ = 5616377856.

The previous prime is 22231500229. The next prime is 22231500323. The reversal of 22231500240 is 4200513222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×222315002402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433105 + ... + 2442224.

It is an arithmetic number, because the mean of its divisors is an integer number (906811380).

Almost surely, 222231500240 is an apocalyptic number.

22231500240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22231500240 is an abundant number, since it is smaller than the sum of its proper divisors (50313410160).

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

22231500240 is a wasteful number, since it uses less digits than its factorization.

22231500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875364 (or 4875358 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 22231500240 in words is "twenty-two billion, two hundred thirty-one million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4875329 9750658 14625987 19501316 24376645 29251974 39002632 48753290 58503948 73129935 78005264 92631251 97506580 117007896 146259870 185262502 195013160 234015792 277893753 292519740 370525004 390026320 463156255 555787506 585039480 741050008 926312510 1111575012 1170078960 1389468765 1482100016 1852625020 2223150024 2778937530 3705250040 4446300048 5557875060 7410500080 11115750120 22231500240