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100222960 = 2452354469
BaseRepresentation
bin1011111100101…
…00011111110000
320222120212001111
411332110133300
5201124113320
613540043104
72324611135
oct576243760
9228525044
10100222960
1151633aa2
1229693494
13179c1136
14d44c58c
158beaa5a
hex5f947f0

100222960 has 40 divisors (see below), whose sum is σ = 243154080. Its totient is φ = 38345472.

The previous prime is 100222951. The next prime is 100222963. The reversal of 100222960 is 69222001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1002229602 = 20089283422323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25395 + ... + 29074.

It is an arithmetic number, because the mean of its divisors is an integer number (6078852).

Almost surely, 2100222960 is an apocalyptic number.

100222960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222960 is an abundant number, since it is smaller than the sum of its proper divisors (142931120).

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

100222960 is a wasteful number, since it uses less digits than its factorization.

100222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54505 (or 54499 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 100222960 is about 10011.1417930224. The cubic root of 100222960 is about 464.5035901841.

Adding to 100222960 its reverse (69222001), we get a palindrome (169444961).

The spelling of 100222960 in words is "one hundred million, two hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 54469 108938 217876 272345 435752 544690 871504 1089380 1252787 2178760 2505574 4357520 5011148 6263935 10022296 12527870 20044592 25055740 50111480 100222960