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100023220 = 225111923929
BaseRepresentation
bin1011111011000…
…11101110110100
320222012201001201
411331203232310
5201101220340
613531502244
72323116613
oct575435664
9228181051
10100023220
1151507a20
12295b7984
131795124b
14d3d987a
158bab79a
hex5f63bb4

100023220 has 48 divisors (see below), whose sum is σ = 241214400. Its totient is φ = 34456320.

The previous prime is 100023139. The next prime is 100023221. The reversal of 100023220 is 22320001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100023197 and 100023206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785 + ... + 16144.

It is an arithmetic number, because the mean of its divisors is an integer number (5025300).

Almost surely, 2100023220 is an apocalyptic number.

100023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023220 is an abundant number, since it is smaller than the sum of its proper divisors (141191180).

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

100023220 is a wasteful number, since it uses less digits than its factorization.

100023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23968 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100023220 is about 10001.1609326118. The cubic root of 100023220 is about 464.1948064785.

Adding to 100023220 its reverse (22320001), we get a palindrome (122343221).

The spelling of 100023220 in words is "one hundred million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 23929 47858 95716 119645 239290 263219 454651 478580 526438 909302 1052876 1316095 1818604 2273255 2632190 4546510 5001161 5264380 9093020 10002322 20004644 25005805 50011610 100023220