Search a number
-
+
22315385740 = 22529183121013
BaseRepresentation
bin10100110010000110…
…011100001110001100
32010121012100001101011
4110302012130032030
5331200214320430
614130200055004
71416665435434
oct246206341614
963535301334
1022315385740
1195114a965a
1243a9464464
1321482a8b7b
1411199db2c4
158a917b22a
hex53219c38c

22315385740 has 48 divisors (see below), whose sum is σ = 48507036480. Its totient is φ = 8613239040.

The previous prime is 22315385717. The next prime is 22315385761. The reversal of 22315385740 is 4758351322.

It is a super-3 number, since 3×223153857403 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22315385693 and 22315385702.

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, 1051474 + ... + 1072486.

It is an arithmetic number, because the mean of its divisors is an integer number (1010563260).

Almost surely, 222315385740 is an apocalyptic number.

22315385740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22315385740 is an abundant number, since it is smaller than the sum of its proper divisors (26191650740).

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

22315385740 is a wasteful number, since it uses less digits than its factorization.

22315385740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22882 (or 22880 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 22315385740 in words is "twenty-two billion, three hundred fifteen million, three hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1831 3662 7324 9155 18310 21013 36620 42026 53099 84052 105065 106198 210130 212396 265495 420260 530990 609377 1061980 1218754 2437508 3046885 6093770 12187540 38474803 76949606 153899212 192374015 384748030 769496060 1115769287 2231538574 4463077148 5578846435 11157692870 22315385740