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10222013220 = 22351673073323
BaseRepresentation
bin10011000010100011…
…11000101100100100
3222101101112002000020
421201101320230210
5131413313410340
64410153115140
7511211451546
oct114121705444
928341462006
1010222013220
114376072911
121b933b8ab0
13c6b9b1343
146cd835696
153ec6149d0
hex261478b24

10222013220 has 96 divisors (see below), whose sum is σ = 28895505408. Its totient is φ = 2699908992.

The previous prime is 10222013213. The next prime is 10222013237. The reversal of 10222013220 is 2231022201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222013220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074479 + ... + 3077801.

It is an arithmetic number, because the mean of its divisors is an integer number (300994848).

Almost surely, 210222013220 is an apocalyptic number.

10222013220 is a gapful number since it is divisible by the number (10) 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 10222013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447752704).

10222013220 is an abundant number, since it is smaller than the sum of its proper divisors (18673492188).

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

10222013220 is a wasteful number, since it uses less digits than its factorization.

10222013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222013220 its reverse (2231022201), we get a palindrome (12453035421).

It can be divided in two parts, 102220 and 13220, that added together give a triangular number (115440 = T480).

The spelling of 10222013220 in words is "ten billion, two hundred twenty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 307 334 501 614 668 835 921 1002 1228 1535 1670 1842 2004 2505 3070 3323 3340 3684 4605 5010 6140 6646 9210 9969 10020 13292 16615 18420 19938 33230 39876 49845 51269 66460 99690 102538 153807 199380 205076 256345 307614 512690 554941 615228 769035 1020161 1025380 1109882 1538070 1664823 2040322 2219764 2774705 3060483 3076140 3329646 4080644 5100805 5549410 6120966 6659292 8324115 10201610 11098820 12241932 15302415 16648230 20403220 30604830 33296460 61209660 170366887 340733774 511100661 681467548 851834435 1022201322 1703668870 2044402644 2555503305 3407337740 5111006610 10222013220