Search a number
-
+
22357249680 = 2435279133377
BaseRepresentation
bin10100110100100110…
…001000111010010000
32010201010002221220110
4110310212020322100
5331241423442210
614134253241320
71421014325643
oct246446107220
963633087813
1022357249680
1195330a2657
1243bb493240
132153b75c2c
1411213b7a5a
158acb9a420
hex534988e90

22357249680 has 80 divisors (see below), whose sum is σ = 69334383744. Its totient is φ = 5959618560.

The previous prime is 22357249609. The next prime is 22357249699. The reversal of 22357249680 is 8694275322.

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

It is a super-2 number, since 2×223572496802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 653152 + ... + 686528.

Almost surely, 222357249680 is an apocalyptic number.

22357249680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22357249680 is an abundant number, since it is smaller than the sum of its proper divisors (46977134064).

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

22357249680 is a wasteful number, since it uses less digits than its factorization.

22357249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36184 (or 36178 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 22357249680 in words is "twenty-two billion, three hundred fifty-seven million, two hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2791 5582 8373 11164 13955 16746 22328 27910 33377 33492 41865 44656 55820 66754 66984 83730 100131 111640 133508 133968 166885 167460 200262 223280 267016 333770 334920 400524 500655 534032 667540 669840 801048 1001310 1335080 1602096 2002620 2670160 4005240 8010480 93155207 186310414 279465621 372620828 465776035 558931242 745241656 931552070 1117862484 1397328105 1490483312 1863104140 2235724968 2794656210 3726208280 4471449936 5589312420 7452416560 11178624840 22357249680