Search a number
-
+
22154009900 = 22521166130469
BaseRepresentation
bin10100101000011110…
…110101110100101100
32010011221200022100012
4110220132311310230
5330332411304100
614102153152352
71412665656101
oct245036656454
963157608305
1022154009900
1194393a75a0
1243633bb6b8
132120a260c9
1411023d0aa8
15899e01135
hex5287b5d2c

22154009900 has 72 divisors (see below), whose sum is σ = 52525648560. Its totient is φ = 8043552000.

The previous prime is 22154009897. The next prime is 22154009909. The reversal of 22154009900 is 990045122.

It is not an unprimeable number, because it can be changed into a prime (22154009909) 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, 711866 + ... + 742334.

Almost surely, 222154009900 is an apocalyptic number.

22154009900 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 22154009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26262824280).

22154009900 is an abundant number, since it is smaller than the sum of its proper divisors (30371638660).

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

22154009900 is a wasteful number, since it uses less digits than its factorization.

22154009900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31155 (or 31148 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 22154009900 in words is "twenty-two billion, one hundred fifty-four million, nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 661 1100 1322 2644 3305 6610 7271 13220 14542 16525 29084 30469 33050 36355 60938 66100 72710 121876 145420 152345 181775 304690 335159 363550 609380 670318 727100 761725 1340636 1523450 1675795 3046900 3351590 6703180 8378975 16757950 20140009 33515900 40280018 80560036 100700045 201400090 221540099 402800180 443080198 503500225 886160396 1007000450 1107700495 2014000900 2215400990 4430801980 5538502475 11077004950 22154009900