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2230100320 = 25573164231
BaseRepresentation
bin1000010011101100…
…1010000101100000
312202102022211112011
42010323022011200
514031401202240
61005142442304
7106156353130
oct20473120540
95672284464
102230100320
11a44919418
12522a33394
132970401b6
14172274ac0
15d0bb56ea
hex84eca160

2230100320 has 96 divisors (see below), whose sum is σ = 6215602176. Its totient is φ = 739929600.

The previous prime is 2230100317. The next prime is 2230100359. The reversal of 2230100320 is 230010322.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2230100320.

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, 2605 + ... + 66835.

It is an arithmetic number, because the mean of its divisors is an integer number (64745856).

Almost surely, 22230100320 is an apocalyptic number.

2230100320 is a gapful number since it is divisible by the number (20) 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 2230100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107801088).

2230100320 is an abundant number, since it is smaller than the sum of its proper divisors (3985501856).

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

2230100320 is a wasteful number, since it uses less digits than its factorization.

2230100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64284 (or 64276 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2230100320 is about 47223.9379975876. The cubic root of 2230100320 is about 1306.4961471684.

Adding to 2230100320 its reverse (230010322), we get a palindrome (2460110642).

The spelling of 2230100320 in words is "two billion, two hundred thirty million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 64231 128462 256924 321155 449617 513848 642310 899234 1027696 1284620 1798468 1991161 2055392 2248085 2569240 3596936 3982322 4496170 5138480 7193872 7964644 8992340 9955805 10276960 13938127 14387744 15929288 17984680 19911610 27876254 31858576 35969360 39823220 55752508 63717152 69690635 71938720 79646440 111505016 139381270 159292880 223010032 278762540 318585760 446020064 557525080 1115050160 2230100320