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10354542220 = 225112910116069
BaseRepresentation
bin10011010010010110…
…11100011010001100
3222201121220020121201
421221023130122030
5132201230322340
64431245435244
7514411104511
oct115113343214
928647806551
1010354542220
114433961910
12200b86bb24
13c902a3c79
14703293308
1540909279a
hex2692dc68c

10354542220 has 96 divisors (see below), whose sum is σ = 24783796800. Its totient is φ = 3599232000.

The previous prime is 10354542199. The next prime is 10354542227. The reversal of 10354542220 is 2224545301.

It is a super-3 number, since 3×103545422203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10354542227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636346 + ... + 652414.

It is an arithmetic number, because the mean of its divisors is an integer number (258164550).

Almost surely, 210354542220 is an apocalyptic number.

10354542220 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 10354542220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391898400).

10354542220 is an abundant number, since it is smaller than the sum of its proper divisors (14429254580).

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

10354542220 is a wasteful number, since it uses less digits than its factorization.

10354542220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16219 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 10354542220 in words is "ten billion, three hundred fifty-four million, five hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2222 2929 3190 4444 5555 5858 6380 11110 11716 14645 16069 22220 29290 32138 32219 58580 64276 64438 80345 128876 160690 161095 176759 321380 322190 353518 466001 644380 707036 883795 932002 1622969 1767590 1864004 2330005 3245938 3535180 4660010 5126011 6491876 8114845 9320020 10252022 16229690 17852659 20504044 25630055 32459380 35705318 47066101 51260110 71410636 89263295 94132202 102520220 178526590 188264404 235330505 357053180 470661010 517727111 941322020 1035454222 2070908444 2588635555 5177271110 10354542220