Search a number
-
+
22258885220 = 22511132837213
BaseRepresentation
bin10100101110101110…
…111010001001100100
32010110021000112020022
4110232232322021210
5331041233311340
614120421054312
71415411255045
oct245656721144
963407015208
1022258885220
119492618a10
124392557398
132139685a00
1411122d08cc
158a421a3b5
hex52ebba264

22258885220 has 144 divisors (see below), whose sum is σ = 55890378432. Its totient is φ = 7380472320.

The previous prime is 22258885163. The next prime is 22258885261. The reversal of 22258885220 is 2258885222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3082334 + ... + 3089546.

It is an arithmetic number, because the mean of its divisors is an integer number (388127628).

Almost surely, 222258885220 is an apocalyptic number.

22258885220 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 22258885220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27945189216).

22258885220 is an abundant number, since it is smaller than the sum of its proper divisors (33631493212).

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

22258885220 is a wasteful number, since it uses less digits than its factorization.

22258885220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 44.

The spelling of 22258885220 in words is "twenty-two billion, two hundred fifty-eight million, eight hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 169 220 260 286 332 338 415 572 676 715 830 845 913 1079 1430 1660 1690 1826 1859 2158 2860 3380 3652 3718 4316 4565 5395 7213 7436 9130 9295 10790 11869 14027 14426 18260 18590 21580 23738 28054 28852 36065 37180 47476 56108 59345 70135 72130 79343 93769 118690 140270 144260 154297 158686 187538 237380 280540 308594 317372 375076 396715 468845 598679 617188 771485 793430 937690 1031459 1197358 1218997 1542970 1586860 1875380 2062918 2394716 2437994 2993395 3085940 4125836 4875988 5157295 5986790 6094985 6585469 7782827 10314590 11973580 12189970 13170938 13408967 15565654 20629180 24379940 26341876 26817934 31131308 32927345 38914135 53635868 65854690 67044835 77828270 85611097 101176751 131709380 134089670 155656540 171222194 202353502 268179340 342444388 404707004 428055485 505883755 856110970 1011767510 1112944261 1712221940 2023535020 2225888522 4451777044 5564721305 11129442610 22258885220