Search a number
-
+
226123014402 = 23247798234111
BaseRepresentation
bin1101001010010111111…
…0110110000100000010
3210121122220100022110100
43102211332312010002
512201044442430102
6251513544543230
722223352623565
oct3224576660402
9717586308410
10226123014402
11879976015aa
12379a8181b16
131842840384c
14ad316784dc
155d36a26a1c
hex34a5fb6102

226123014402 has 96 divisors (see below), whose sum is σ = 507430010880. Its totient is φ = 72730625760.

The previous prime is 226123014307. The next prime is 226123014497. The reversal of 226123014402 is 204410321622.

226123014402 is a `hidden beast` number, since 2 + 2 + 612 + 3 + 0 + 1 + 4 + 40 + 2 = 666.

226123014402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226123014307) and next prime (226123014497).

It is a super-2 number, since 2×2261230144022 (a number of 24 digits) contains 22 as substring.

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, 55002327 + ... + 55006437.

It is an arithmetic number, because the mean of its divisors is an integer number (5285729280).

Almost surely, 2226123014402 is an apocalyptic number.

226123014402 is an abundant number, since it is smaller than the sum of its proper divisors (281306996478).

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

226123014402 is a wasteful number, since it uses less digits than its factorization.

226123014402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 226123014402 in words is "two hundred twenty-six billion, one hundred twenty-three million, fourteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 47 79 94 141 158 237 282 423 474 711 823 846 1422 1646 2469 3713 4111 4938 7407 7426 8222 11139 12333 14814 22278 24666 33417 36999 38681 65017 66834 73998 77362 116043 130034 193217 195051 232086 324769 348129 386434 390102 579651 585153 649538 696258 974307 1159302 1170306 1738953 1948614 2922921 3055799 3383353 3477906 5845842 6111598 6766706 9167397 10150059 15264143 18334794 20300118 27502191 30450177 30528286 45792429 55004382 60900354 91584858 137377287 159017591 267284887 274754574 318035182 477052773 534569774 801854661 954105546 1431158319 1603709322 2405563983 2862316638 4811127966 12562389689 25124779378 37687169067 75374338134 113061507201 226123014402