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4214145100 = 22521123166567
BaseRepresentation
bin1111101100101110…
…1100000001001100
3101212200122202022011
43323023230001030
532112310120400
61534055431004
7206300433214
oct37313540114
911780582264
104214145100
111872858650
12997385464
135220bc1a9
142bd979244
15199e758ba
hexfb2ec04c

4214145100 has 72 divisors (see below), whose sum is σ = 10409833728. Its totient is φ = 1465780800.

The previous prime is 4214145083. The next prime is 4214145101. The reversal of 4214145100 is 15414124.

4214145100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4214145101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57984 + ... + 108583.

It is an arithmetic number, because the mean of its divisors is an integer number (144581024).

Almost surely, 24214145100 is an apocalyptic number.

It is an amenable number.

4214145100 is an abundant number, since it is smaller than the sum of its proper divisors (6195688628).

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

4214145100 is a wasteful number, since it uses less digits than its factorization.

4214145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166615 (or 166608 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4214145100 is about 64916.4470685203. The cubic root of 4214145100 is about 1615.2378949654.

Adding to 4214145100 its reverse (15414124), we get a palindrome (4229559224).

The spelling of 4214145100 in words is "four billion, two hundred fourteen million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 166567 333134 666268 832835 1665670 1832237 3331340 3664474 3831041 4164175 7328948 7662082 8328350 9161185 15324164 16656700 18322370 19155205 36644740 38310410 42141451 45805925 76620820 84282902 91611850 95776025 168565804 183223700 191552050 210707255 383104100 421414510 842829020 1053536275 2107072550 4214145100